Answers
Rewrite the innermost expressions with negative exponents:
[tex]\displaystyle \left[\left(\frac{a^6}{5b^{-1}}\right)^2 \cdot \left(\frac{b}{9a^{-11}}\right)^{-1}\right]^{-3}[/tex]
[tex]\displaystyle \implies \left[\left(\frac{a^6b^1}{5}\right)^2 \cdot \left(\frac{ba^{11}}{9}\right)^{-1}\right]^{-3}[/tex]
[tex]\displaystyle \implies \left[\left(\frac{a^6b^1}{5}\right)^2 \cdot \left(\frac9{ba^{11}}\right)^1\right]^{-3}[/tex]
Simplify the product:
[tex]\displaystyle \implies \left[\left(\frac{a^6b}{5}\right)^2 \cdot \frac9{ba^{11}}\right]^{-3}[/tex]
[tex]\displaystyle \implies \left[\frac{\left(a^6b\right)^2}{5^2} \cdot \frac9{ba^{11}}\right]^{-3}[/tex]
[tex]\displaystyle \implies \left[\frac{\left(a^6\right)^2b^2}{25} \cdot \frac9{ba^{11}}\right]^{-3}[/tex]
[tex]\displaystyle \implies \left[\frac{a^{12}b^2}{25} \cdot \frac9{ba^{11}}\right]^{-3}[/tex]
[tex]\displaystyle \implies \left[\frac{9ab}{25}\right]^{-3}[/tex]
Rewrite the last negative exponent:
[tex]\implies \boxed{\left(\frac{25}{9ab}\right)^3}[/tex]
Related Questions
.03 + six tenths equals
Answers
Phil must lay concrete down for his back patio and
purchased 23 cubic feet of concrete, what are possible
dimensions of the patio slab? Select all that apply.
Answers
Answer:
Concrete can be purchased by the cubic yard. How much will it cost to pour a slab 18 feet by 18 feet by 6 inches for a patio if the concrete costs $42.00 per cubic yard?
Step-by-step explanation:
I HOPE THIS HELPS
6
0 0 0
TIME RE
44
Jeremiah flies an airplane for 2.7 hours at an average speed of 304.6 miles per hour. How far did Jeremiah fly?
Answers
Answer:
112.81 miles
Step-by-step explanation:
304.6 divided by 2.7
Someone help?
Find the problem:
-5x - 16 = 8x - 1
Fix the problem:
?
Answers
[tex]-5x -16 = 8x -1\\\\\implies 8x +5x = -16 +1 \\\\\implies 13x = -15\\\\\implies x = -\dfrac{15}{13}[/tex]
please help! ASAP I need help fast!!
Answers
Answer: 4.8
Explanation: divide total needed of blue paint (3) by 1/2 to find the ratio, which is 6. then multiply that by 4/5 to get the total of yellow paint, which is 4.8
Determine the value of cos 45 X 29
Answers
Answer:
20.50609665
around 20.506
Seven less than twice a number is 43. What is the number?
Answers
Answer:
25
Step-by-step explanation:
x = the number
2x - 7 = 43
+7 +7
-----------------
2x = 50
------------
2 2
x = 25
Mrs. Nisbet had 97 books in her classroom library. She received a grant to expand her classroom library. After spending the money, she had 213 books. What is the percent increase? *
Answers
Answer: 219
Step-by-step explanation:
Help help help help help help help math math
Answers
Answer:
Step-by-step explanation:
5x + 10 + 10x + 5 = 180
15x + 15 = 180
15x = 165
x = 11
Part A. What is the unit rate in dollars per hour for each company?
The unit rate for the 1st company is 2,86.
The unit rate for the 2nd company is 2,50.
Part B. Analyze Relationships Which company offers the best deal? Explain your answer.
Part C. What if? Another company offers a rate of $0.05 per minute. How would you find the unit rate per hour?
Answers
Answer:
i thinks its
the unot rate for the 1st company is 2,86
Step-by-step explanation:
Line’s family has completed 70% of a trip. They have traveled 35 miles. How far is the trip?
Answers
Answer:
hi the answer to your question should be 50 miles
Step-by-step explanation:
hope this helps have a great day!
(07.03 LC)
Identify the factors of x2 - 8x - 20. (1 point)
O (x + 4Nx - 5)
O (x + 5)(x - 4)
O (x - 10)(x + 2)
O (x-2)(x + 10)
Answers
Answer:
(x - 10)(x + 2)
Step-by-step explanation:
We are looking for two things that multiply together to give us
x^2 - 10x - 20
These things are binomials, such as (x+2) or (x-7) or (x+8) or (x-5)
We know the first term in the binomial has to be x, because x times x is x^2.
And then we are looking for two numbers that multiply to -20 but also add up to -8.
-10 and 2 multiply to make -20 and add up to -8 so we pick the answer (x-10)(x+2)
Answer:
Option C
Step-by-step explanation:
x² - 8x - 20
x² - (10x - 2x) - 20
x² - 10x + 2x - 20
x(x - 10) + 2(x - 10)
(x - 10)(x + 2)
Hence
Option C is correct
5. Which of the following linear expressions is a factor of the cubic polynomial x^3 + 9x² +16x-12?
(1) x+6
(3) r-3
(2) x-1
(4) x+2
Answers
Answer:
(1) x+6
Step-by-step explanation:
Possible rational zeroes include ±1, ±2, ±3, ±4, ±6, ±12
Check each answer choice with synthetic division:
1 | 1 9 16 -12
__1_10_26
1 10 26 | 14
-2 | 1 9 16 -12
__-2_-14_-4
1 7 2 | -16
-6 | 1 9 16 -12
__-6_-18_12
1 3 -2 | 0
Therefore, x+6 is a factor of the polynomial
Answer:
(1) x+6
Step-by-step explanation:
Help please, I attached a screenshot
Answers
[tex] \frac{(7 {x}^{2} {y}^{4} ) ^{2} }{49 {x}^{6} {y}^{5} } \\ = \frac{ {7}^{2} {x}^{2 \times 2} {y}^{4 \times 2} }{49 {x}^{6} {y}^{5} } \\ = \frac{49{x}^{4} {y}^{8} } {49 {x}^{6} {y}^{5}} \\ = {x}^{4 - 6} {y}^{8 - 5} \\ = {x}^{ - 2} {y}^{3} \\ = \frac{y ^{3} }{ {x}^{2} } [/tex]
Answer:
[tex] \frac{y ^{3} }{ {x}^{2} } [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Pre college need help this
Answers
Find the area of the region bounded by the graphs of the equations [tex]y=2x-x^2, y=0.[/tex] Provide a sketch. Show the work!
Answers
[tex]\\ \sf\longmapsto y=2x-x^2[/tex]
y=0[tex]\\ \sf\longmapsto 2x-x^2=0[/tex]
[tex]\\ \sf\longmapsto x^2-2x=0[/tex]
[tex]\\ \sf\longmapsto x(x-2)=0[/tex]
[tex]\\ \sf\longmapsto x=0,2[/tex]
⇒ y=2x−x2
y=0⇒ 2x - x² = 0
⇒ x² - 2x = 0
⇒ x ( x - 2 ) = 0
⇒ x = 0, 2
Evaluate each expression
Answers
Answer:
4 * 4 ÷ 4 = 4
8 ÷ (2*2) = 2
Step-by-step explanation:
[tex]4 * 4 \div4\\\rule{150}{0.5}\\\text{Use PEMDAS}\\\\4 * 4 \div4\\\\4 * 1\\\\\boxed{4}[/tex]
==============================
[tex]8 \div (2*2)\\\rule{150}{0.5}\\\text{Use PEMDAS}\\\\8 \div (2*2)\\\\8 \div 4\\\\\boxed{2}[/tex]
I hope this helps.
7. A boutique is offering a 25% discount on purchase made in cash. Calculate the cash price Janelle paid for articles totaled to $465.
Answers
if SOMEONE MAKE 4 SMOOTHIES WITH A RATION OF 2;3 WHAT IS AN EQUIVALENT RATIO
Answers
Answer:
8 smoothies: 4:6
2 smoothies: 1:1.5, etc.
Find the monthly house payments necessary to amortize a 10.8% loan of $125,800 over 20 years.
.
The payment size is $
Answers
Answer:
13,586400000000001 per time
Step-by-step explanation:
Find the quotient. 9,270,000 100
Answers
Answer: 92,700
Step-by-step explanation:
9,270,000 / 100 = 92,700
ME: Honesty Armani wade
1. The owner of a flower shop sells 18 roses for $90. What is the cost in dollars per rose? Show
or explain how you know.
Answers
Answer:
The roses are sold individualy for $5.00.
Step-by-step explanation:
To find the answer, you divide 90 (the total amount) by 18 (the number of roses). Because we are doing division, you forget about the dollar sign (for now) and do the division. 90➗18=5. Since it is money, it would be $5.00
a
1. Baby Amelia's parents measure her height every
month. She was born 46 cm long and grows on
average 2.5 cm per month. Write a linear equation to
find Baby Amelia's height, y, after x number of
months. (3 pts)
Slope:
y-intercept:
(1 pt)
Equation:
(1 pt)
After how many months will Amelia be 66 cm? Show
your work:
After
months. (1 pt)
Answers
Answer: equation: y = 2.5x + 46
slope: 2.5
y intercept: 46
she will be 8 months old by the time she is 66 cm
Step-by-step explanation: the eqation is written in y= mx+b format, where m is the slope and b is the y intercept. You can solve the last part of the problem by using this equation and subbing 66 in for y.
y = 2.5x + 46
66 = 2.5x + 46
20 = 2.5x
8 = x
7 grade math hellp me
Answers
Answer:
32
Step-by-step explanation:
180 - 148 = 32
I hope this helps!
If 9 out of 20 candies are orange, how many orange candies will there be per 100 candies total?
Answers
Answer:
45
Step-by-step explanation:
20 / 9 = 2.222222222223
100 / 45 = 2.222222222223
9 is 45% of 20 and 45 is 45% of 100.
Plzzzz help I REALLY NEED HELP
Write a division problem with 1/3 as the dividend 3 as divisor. The find the quotient.
Answers
Answer:
1/9
Step-by-step explanation:
Which pair of triangles can be proven congruent by SAS?
Answers
Answer:
The first one
Step-by-step explanation:
SAS postulate says that if two sides and the included angle of a triangle are equal to two sides and the included angle of another triangle, then the one triangles are said to be congruent.
Ms.Thomas ordered 5 pencil packs, n notebooks, and 5 sets of makers. Write an algebraic expression that represents the cost of Ms.Thomas’s order
Answers
or
7.5+12.5+2n
20+2n= Cost
Given the function defined in the table below, find the average rate of change, in
simplest form, of the function over the interval 4 < x < 7.
f(x)
3
5
4.
9
5
15
6
23
7
33
Answer:
Submit Answer
attempt 2 out of 2
Answers
Answer:
8
Step-by-step explanation:
It appears your table includes points (4, 9) and (7, 33). The average rate of change on the interval is the slope of the line between these two points:
m = (y2 -y1)/(x2 -x1)
m = (33 -9)/(7 -4) = 24/3 = 8
The average rate of change is 8.
find the numbered angles 1 to10
Answers
Answer:
6
Step-by-step explanation:
im not sure but I think 6 is the answer