Answers
Answer:
1/6^3
Step-by-step explanation:
The applicable rules of exponents are ...
a^-b = 1/a^b
(a^b)(a^c) = a^(b+c)
__
Your expression can be simplified as follows:
[tex]\dfrac{6^{-5}}{6^{-2}}=\dfrac{1}{(6^{-2})(6^5)}=\dfrac{1}{6^{-2+5}}=\boxed{\dfrac{1}{6^3}}[/tex]
_____
Additional comment
If you think of an exponent as signifying repeated multiplication, the rules of exponents may be easier to remember. The exponent tells you how many times the base is a factor in the product.
Consider multiplication:
[tex](x\cdot x\cdot x)\cdot(x\cdot x)=x^3\cdot x^2=x^{3+2}=x^5\\\\(x\cdot x\cdot x)\cdot(x\cdot x\cdot x)=(x^3)^2=x^{3\cdot2}=x^6[/tex]
Consider division:
[tex]\dfrac{x\cdot x\cdot x}{x\cdot x}=x\quad\Longleftrightarrow\quad\dfrac{x^3}{x^2}=x^{3-2}=x^1\\\\\dfrac{x\cdot x}{x\cdot x\cdot x}=\dfrac{1}{x}\quad\Longleftrightarrow\quad\dfrac{x^2}{x^3}=x^{2-3}=x^{-1}[/tex]
This may help you see that a positive exponent in the denominator is equivalent to a negative exponent in the numerator (and vice versa).
Related Questions
A basketball player makes 75% of her free throws. If she made 84 free throws this season, how many has she attempted?
A. 112
B. 105
C. 63
D. 168
Answers
Answer:
A
Step-by-step explanation:
84 / 0.75 = 112
112 x 0.75 = 84
Answer:
Its A
Step-by-step explanation:
How would you find the slope and the y-intercept for the equation y=2.50x+2.50?
Answers
Answer:
Slope = m = 2.50
Y-intercept = b = 2.50
Step-by-step explanation:
Given equation is:
[tex]y=2.50x+2.50[/tex]
Comparing it with slope-intercept form of equation [tex]y = mx+b[/tex], where m is slope and b is y-intercept, we get:
Slope = m = 2.50
Y-intercept = b = 2.50
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Rihanna used this number line to solve this problem. Which problem could she have been solving
Answers
Answer:
what kind kind of prob
Step-by-step explanation:
dp you have a Story
Answer:
there is no picture to explain your qustion and im confused
Step-by-step explanation:
Select the correct answer,
How does the figure verify the triangle inequality theorem?
Answers
Step-by-step explanation:
just think it through. it can only be the first option. the sides 7 and 4 are together 11, and they can only meet, when putting them flat on the 11 side. but yes, if you do that, they will meet, as 11 = 11.
the result would be an extreme triangle : appearing just as one, flat line (length 11), the angles being 180°, 0° and 0°.
The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side. The correct option is A.
What is the triangle inequality theorem?The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.
Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,
(a+b) > c(b+c) > a(c+a) > bSides 7 and 4 are together 11, and they can only meet when they are flat on the side with a length of 11 units. However, if you do this, they will meet touch overlap on each other since 11 units = 11 units.
This will result in an extreme triangle which will more of look more like a straight line and will have angles of measure as 180°, 0°, and 0°.
Learn more about the Triangle Inequality Theorem:
https://brainly.com/question/342881
#SPJ5
(2x-3)(x+5)-(x-6)(x+5)=0
Answers
That’s would be the answer
Please help! If possible please show your work :D Thank you!
Solve.
Answers
Equation at the end of step1: (7x + 18) (4) - 4x = 0 2 STEP2:Equation at the end of step 2 2 • (7x + 18) - 4x = 0 STEP3:STEP4:Pulling out like terms
4.1 Pull out like factors :
10x + 36 = 2 • (5x + 18)
Equation at the end of step4: 2 • (5x + 18) = 0 STEP5:Equations which are never true:
5.1 Solve : 2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
5.2 Solve : 5x+18 = 0
Subtract 18 from both sides of the equation :
5x = -18
Divide both sides of the equation by 5:
x = -18/5 = -3.600
Help for points and Ill give brainliest to correct!
Answers
Answer:
D. 3 1/4
Step-by-step explanation:
Answer:
your answer would be D.
Step-by-step explanation:
all you have to do for this equation is subtract the whole numbers to get 3. and then subtract the fractions, you would get 2/8, then you would simplify it and get 1/4.
B is the midpoint of AC Find AB, BC and AC.
Answers
Step-by-step explanation:
Since B is the midpoint of AC. So,
AB = BC
12x - 12 = 4x + 28
12x - 4x = 28 + 12
8x = 40
x = 40/8
x = 5
Now,
AB = BC = 4(5) + 28
= 20 + 28
= 48 cm
Now
AC = AB + BC
AC = 48 + 48
AC = 96 cm
function g is represented by th table.
x -1 0 1 2 3
g(x) 15 3 0 -¾ -15/16
Which statement correctly compares the two functions?
А.They have the same x- and y-intercepts.
B.They have different x- and y-intercepts but the same end behavior as x approaches infinity.
C.They have the same y-intercept and the same end behavior as x approaches infinity.
D.They have the same x-intercept but different end behavior as x approaches infinity
Answers
Answer:
D. They have the same x-intercept but different end behavior as x approaches infinity
Step-by-step explanation:
A careful comparison reveals the g(x) values in the table are 1/2 the y-values in the graph. The x-intercepts are the same, but the y-intercepts and end behavior are different.
Please help me.........
Answers
Answer:
8/15
Step-by-step explanation:
hope this helps!!! :D
Answer: 8/15
Step-by-step explanation: Tangent is opposite/adjacent
The hypotenuse, the longest side of a triangle which is 17. The adjacent side is the second longest which is 15. And the opposite is the shortest or the base of a triangle which is 8.
For the future, remember these:
Sin = opposite/hypotenuse
Cos = adjacent/hypotenuse
Tan = opposite/adjacent
Therefore, tan is 8/15.
Hope this helps.
Help help help help help math
Answers
Answer:
75
Step-by-step explanation:
A = π r^2
A = Area of the circle which is in this question unknown
r = radius of the circle (which is the length of straight line from the center of the circle to any point on the circumference of the circle) and in this question is equal to 5 in
π = irrational number equal to 3.14159... but here you have told to use it as 3
A = π r^2
*plot the information we have get( r = 5 in and π = 3 ) in the equation above
A = (3)(5)^2
A = (3) (25)
A = 75 in^2
First to get it will get Brainly and 20 points. Good luck
Answers
[tex] \frac{1}{2} [/tex]
Answer:
the correct answere is 1:2
Step-by-step explanation:
my sister is working on the same thing and I helped her and she got it right.
Beverly is making peanut butter-banana bread. She always doubles the amount of nuts and peanut butter chips. The total amount of chips and nuts after doubling is 412 cups.
and plz get equation as well
Answers
_____5.Six times a number less four is equal to eight.
Answers
Answer:
1. 4x = 15
2. 4(n - 3) = 24
3. 2n + 5 = 13
4. (3/4)n = 9
5. 6x - 4 = 8
Step-by-step explanation:
this should be correct. hope this helps!
Question 47 of 55
Expression A: 3(x + 1)
Expression B: 3x+3
Which statement does not show that these expressions are equivalent?
A. Both expressions involve addition
B. The expressions name the same number regardless of the value
of x
C. 3(x+ 1) can be rewritten as 3x+ 3 using the distributive property.
D. Substituting any value of x makes the expressions equivalent.
SUBMIT
Answers
Answer:
D
Step-by-step explanation:
Substituting any value of x does not make the expressions equivalent. Replacing x for any two different values would equate to different unequal values.
what is the slope of the line
Answers
Answer:
The slope is 1.Step-by-step explanation:
Let's take two points on a line. (2,0) and (0,2).
Now, determine the rise and run.
Rise: 2 Run: 2Slope = Rise/Run
=> 2/2
Conclusion:
Therefore, the slope is 1.
Hoped this helped.
A family eats at a restaurant.The bill is 120.The family leaves a tip and spends 140.
Answers
I’m not sure what you’re asking here
Answer:
the tip is $20 and the food costs $120
Step-by-step explanation:
it says that the bill is 120
when family leaves they spend 140 total
140-120=20
$20 tip
HELP PLS i need it rn about reflections
Answers
Answer:
x = 1
Step-by-step explanation:
Which of the following is a radical equation?
x^/3 = 13
x+√3 = 13
^/x+3 = 13
X+3=^/13
Answers
[tex]\huge \bf༆ Answer ༄[/tex]
The Correct choice is ~
[tex] \sf \: x + \sqrt{3} = 13[/tex]
ABC is a right triangle. If AC = 7 and BC 8, find AB. Leave your answer in simplest radical form.
Answers
Step-by-step explanation:
We don't know if AB is a hypotenuse or leg.
If AB is hypotenuse:
[tex]AB=\sqrt{AC^2+BC^2} =\sqrt{7^2+8^2} =\sqrt{49+64} =\sqrt{113}[/tex]If AB is leg:
[tex]AB=\sqrt{BC^2-AC^2} =\sqrt{8^2-7^2} =\sqrt{64-49} =\sqrt{15}[/tex]For base/Perpendicular
AB²=8²-7²AB²=64-49AB²=15AB=√15For Hypotenuse
AB²=8²+7²=64+49AB²=113AB=√113What is the percent of change from 90 to 18?
I think it decreases 5%
Answers
Answer:
80%
Step-by-step explanation:
Nine would equal ten percent, so we double that to get twenty percent, so 18 is twenty percent. Therefore we can determine that it is a 80% decrease.
Identify this sequence: 5, 15, 45, 135, …
Geometric
Arithmetic
Neither
Answers
Answer:
geometric (each term is multiplied by 3)
Step-by-step explanation:
I could not find the answer so I guessed and got it right here you go
Answers
Ok done. Thank to me:>
Answer:
u can use the scientific calculator to answer this question easily.
Step-by-step explanation:
Please help, due date is tomorrow
Answers
Answer:
1/4 is on the second line
3/8 is the the third one
3/8 is bigger
Hope This Helps!!!
Answer:
Hope this helps you.......
7. Given: 21 and 22 are supplementary.
Prove: l / m
What is the missing plece of information in the paragraph proof?
Proof: It is given that 21 and 22 are supplementary. 21 and 23 are also supplementary, so
Since 22 and 23. are corresponding angles, l I m.
3
m
Answers
The missing piece of information in the paragraph proof to prove that l║m is: ∠2 and ∠3 (corresponding angles)
What is the Corresponding Angles Theorem?The corresponding angles theorem states that the corresponding angles formed congruent to each other when two parallel lines are cut by a transversal.Conversely, when a transversal cuts two straight lines, if the corresponding angles formed are congruent, then the two lines that are cut by the transversal are parallel to each other.
The corresponding angles in the image given are: ∠2 and ∠3.
Since ∠2 ≅ ∠3, therefore lines l and m will be parallel.
In conclusion, the missing piece of information in the paragraph proof to prove that l║m is: ∠2 and ∠3 (corresponding angles)
Learn more about corresponding angles on:
https://brainly.com/question/2009183
Need help l don’t understand could someone help me?
Answers
Answer:
first put the numbers and unknowns to different sides, as in 6x-3x= 14-5, now solve for x, 3x=9, divide each side by 3 to get the value of x, x=3
Step-by-step explanation:
I did it for you. (Step by step)
I hope this helps.
What is the value of the expression 18-2 times ( 4 +3)
Answers
Answer:
1 2/7
Step-by-step explanation:
18 - 2x(4+3) =
combine like terms in the parentheses
18 - 2x(7) =
Multiply
18 - 14x (This is the value of the expression)
We can solve for x by setting it equal to zero
18 - 14x = 0
-14x = -18
x = -18/-14
x = 1 2/7
What is a theme of the poem "Dream Variations" by Langston Hughes?
It is life's desire to live freely and expressively without boundaries.
People have the power within to make a fresh start in life.
One should spend less time living in the past and enjoy the present.
It is important to find balance between work and rest.
Answers
One theme of the poem Dream variations is the desire to live freely and expressively (option A).
In poems and other literary texts, themes are deep ideas about life that are indirectly expressed by the author. In the case of the poem "Dream variations", the author Langhtons Hughes refers to life and death.
About life, Hughes expresses the importance of living life at its fullest before death occurs. This desire to live freely and expressively is shown in verses such as:
"To fling my arms wideIn the face of the sun"
or in
"To whirl and to dance"
Learn more about poem in: https://brainly.com/question/9527212
Answer:
Step-by-step explanation:
I took the quiz :)
CAN SOMEONE HELP ME PLEASE ASAP!?
Answers
Answer: 20 ft.
Step-by-step explanation:
Simply multiply 5 x 4.
Answer:
20 ft`
Step by step explanation:
N/A
i NEED help pleaseee
Answers
hope it help u