why are 4^0 and (-4)^0 is equal to 1,while -4^0 is equal to -1

Answers

Answer 1

Step-by-step explanation:

According to the zero property of exponents, any number (other than 0) raised to the power of zero is always equal to 1.

The problem with this question is the simple fact that in this format it is confusing.

So, -(4^0) = -1 × (4^0) = -1x1 = -1

and, (-4)^0 =1


Related Questions

What is the easiest way to solve 5-x=10 whilst showing working out​

Answers

Answer is X equals to negative five x=-5

Evaluate:
[tex] log_{\sqrt{3} }(729) \\ [/tex]
Give answer please..

Answers

[tex] \large\underline{\sf{Solution-}}[/tex]

Given Logarithmic expression is

[tex]\rm \longmapsto\: log_{ \sqrt{3} }(729) [/tex]

Let first factorize 729

[tex]\begin{gathered}\begin{gathered}\begin{gathered} \:\: \begin{array}{c|c} {\underline{\sf{3}}}&{\underline{\sf{\:\:729 \:\:}}}\\ {\underline{\sf{3}}}& \underline{\sf{\:\:243 \:\:}} \\\underline{\sf{3}}&\underline{\sf{\:\:81\:\:}} \\ {\underline{\sf{3}}}& \underline{\sf{\:\:27 \:\:}} \\ {\underline{\sf{3}}}& \underline{\sf{\:\:9\:\:}}\\\underline{\sf{}}&{\sf{\:\:3 \:\:}} \end{array}\end{gathered}\end{gathered}\end{gathered}[/tex]

So,

[tex] \purple{\rm \longmapsto\:729 = 3 \times 3 \times 3 \times 3 \times 3 \times 3}[/tex]

[tex] \purple{\rm \longmapsto\:729 = {3}^{6} }[/tex]

[tex] \purple{\rm \longmapsto\:729 = {( [{ \sqrt{3} ]}^{2}) }^{6} }[/tex]

[tex] \purple{\rm \longmapsto\:729 = {( \sqrt{3} )}^{12}}[/tex]

So,

[tex]\rm \longmapsto\: log_{ \sqrt{3} }(729) [/tex]

can be rewritten as

[tex]\rm \:  =  \: log_{ \sqrt{3} }( {( \sqrt{3}) }^{12} ) [/tex]

We know,

[tex] \purple{\rm \longmapsto\:\boxed{\tt{ log_{a}( {a}^{x} ) \: = \: x \: }}}[/tex]

So, using this identity, we get

[tex]\rm \:  =  \: 12[/tex]

Hence,

[tex] \green{\rm\implies \:\boxed{\tt{ \: \: log_{ \sqrt{3} }(729) \: = \: 12 \: \: }}}[/tex]

I’m not sure but
1.66992439152

Help me!
A 180
B 115
C 65

Answers

Answer:

ik this

Step-by-step explanation:

i believe its 180

Answer: B) 115

Step-by-step explanation: i hop this help if not sorry :(

find the value of :[5x+y+z][5x+y+z][5x+y+z]

Answers

Answer:

Step-by-step explanation:

(a + b + c)³ = a³ + b³ + c³ + 3a²b + 3a²c + 3ab² + 3cb² +3 ac² + 3bc² + 6abc

a = 5a  ;  b =y   ; c = z

(5x + y + z)(5z + y + z )(5z + y +z) = (5x + y +z)³

= (5x)³ + y³ +z³ + 3(5x)²y + 3(5x)²z + 3(5x)*y² + 3*z*y² + 3*5x*z² + 3*y*z² + 6*5x*y*z

= 125x³ + y³ +z³ + 3*25x²y + 3*25x²*z + 15xy² + 3zy² + 15xz² + 3yz² + 35xyz

= 125x³ + y³ + z³ + 75x²y + 75x²z + 15xy² + 3zy² + 15xz² + 3yz² + 35xyz

Patulong naman po need kona po ngayun to

Just zoom if you don't clearly see it
THANK YOU ​​

Answers

1.d

2.d

hope it helps

...............

Compare the graph of Car A to the table of Car B to determine which car is traveling at the greates
speed and by how much. Show work.

What is the slope of Car A’s graph? What does it mean

What is the slope of Car AB’s table? What does it mean?

Select the correct letter choice.
a. Car A is going 2 times faster than Car B
b. Car A is going 3 times faster than Car B
c. Car B is going 2 times faster than Car A
d. Car B is going 3 times faster than Car A

Answers

Answer:

A

Step-by-step explanation:

We can see that graph A has reached 8 and graph B has reached 4 so its 2 times faster then graph B! hope that helps.

Answer:

hey i am in k12 too can you help me

Step-by-step explanation:

Tori, Brielle, and Abby, go shopping together. Together they spend $215. Brielle spends twice as much as Tori, and Abby spends one dollar less than three times what Tori spends. How much did each girl spend?

Answers

Step-by-step explanation:

Tori + Brielle + Abby = 215

Give Tori spends x.

Brielle ; 2x and Abby ; 3x - 1

so

x + 2x + 3x - 1 = 215

6x - 1 = 215

6x = 216

x = 36

Tori spends $36 Brielle spends $72 and Abby spends $107.

please give me a brainliest answer

?/15•3/5=1/25 what does ? equal.

Answers

Answer:

? = 1

Step-by-step explanation:

Determine how many centimeters are in 1 yard if there are 2.54 centimeter per inch and 3 feet in a yard.

Answers

Answer:

91.44 cm

Step-by-step explanation:

2.54 x 12 = 30.48 cm per foot

30.48 x 3 = 91.44cm

y is inversely proportional to the squre of X.given that Y=2 when X=6, find the calue of y when x=2

Answers

Answer:

y = 2/9

Step-by-step explanation:

y=x²

y=kx²

2= k(6)²

2= 36k

k= 1/18

The connecting formula is

y= 1/18x²

when y=? , x=2

therefore,

y= 1/18x²

y= 1/18(2)²

y= 1/18(4)

y= 2/9

Answer:

y = 18 when x = 2

Step-by-step explanation:

y ∝ x^2

y = k/x^2

Substituting 'y=2' and 'x=6' to get the value of k:

2 = k/6^2

2 = k/36

k = 36*2

= 72

Hence,

y = 72/x^2

Substituting 'x=2' to get the y-value:

y = 72/2^2

= 72/4

= 18

Hence,

when x =2, y = 18

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

The table shows sets of ordered pads that form a relation

Does each set of ordered pairs represent a function?

Select Function or Not a Function for each set of ordered pairs

{(2,4),(3,1),(0,5),(-1,3)}
{(2,4),(4,1),(0,4), (3,0)}
{(-23),(4,1),(4,4),(3, 2)}
{(7-3),(3; -7), (2,4),(4, 2)}

Answers

Answer:

(5,2) (-2,5) this is how you solve an equation using simple graphd

what is 3.26% of 1298

Answers

Answer:

42.3148

Step-by-step explanation:

3.26% of 1298

3.26/100*1298

42.3148

PLEASE HELP
What is the y-intercept for line c?

Enter your answer in the box.

Answers

Answer:

-5

Step-by-step explanation:

How to write sin and cos and all?

Like should they be in first letter uppercase, or whole lowercase?

My maths teacher is writing with first letter uppercase, but I see many YouT.ubers and all writing it in fully lowercase! so someone clear it up and pick me out of this puzzled condition....

Answers

Any cosine function can be written as a sine function. y = A sin(Bx) and y = A cos(Bx). The number, A, in front of sine or cosine changes the height of the graph. The value A (in front of sin or cos) affects the amplitude (height).

Help me with this pls!!!

Answers

I believe it would be 2.50!

a pole that is 3.3m tall casts a shadow that is 1.77 m long. at the same time , a nearby tower casts a shadow that is 38.5 m long. how tall is the tower? round your answer to the nearest meter​

Answers

Answer:

21m

Step-by-step explanation:

First, divide 38.5 by 3.3.

Then, multiply that number by 1.77.

You will get 20.65...

Rounded, you will get 21 because .65 is bigger than half of one.

-kiniwih426



An ant moves at 14 cm a min. How many minutes will it take him to travel 10 points
364 cm? What is the time ? (Write your answer in "t=" form)

Answers

Answer:

26 minutes/ t=26

Step-by-step explanation:

F) c=14t

S) 364=14t

E) t=26

Can someone pls help me?

Answers

the awnser is 10cm. thank you

Find the slope of the line that passes through each pair of points. Expressed as a fraction in simplest form. (8,2),(8,-1)

Answers

Answer:

x = 8

Step-by-step explanation:

The explanation are the pictures. I hope I gave you the correct answer.

Bryan went to the hardware store and bought 5 identical copper pipes. When Bryan lined up the pipes end-to-end, the line was 1 meter long. How long was each pipe?

Answers

Answer:

hhehehehehheehehe

Step-by-step explanation:

hehehehehhee

Solve the problem based on the picture

Answers

Step-by-step explanation:

those are the x values in the graph above

now the slope

first, find the derivative = (-2*x)/(9+(6*x^2)+x^4)+(50*Cos(x))/(3+x^2)+((-100*x)*Sin(x))/(9+(6*x^2)+x^4)

then substitute the X values

the slope at first point=0.00214262528

the slope at secondpoint=0.29521512101

the slope at the third point=0.29521512101

Mathematics *extra characters

Answers

Answer:

31/2

Step-by-step explanation:

yes

it’s 3/8

subtract the numbers w () then divide ur product.

determine the values of a,b and cfor the quadratic equation 3x2-5x+6=0

Answers

Answer:  a = 3; b = - 5; c = 6

Step-by-step explanation:

ax² + bx + c ≡ 3x² - 5x + 6

∴  a = 3

   b = -5

   c = 6

My slope is 15/3. How do I use the y=mx+b formula if the slope is a fraction?

I’m very new to this so I’m struggling quite a bit

Answers

That's fine , fraction is a number . Just use it as any number .

you want simplify the slope first

15/3=5

and insert

y=5x+b

if its lets say 1/3

y=1/3x+b

Hope this helped

Help me with this it is math

Answers

Answer:

i can my googl

hangouts is hello jazlyn 2279

Step-by-step explanation:

guys pls help me!!!!!!

Answers

Answer:

56 degrees

Step-by-step explanation:

Answer:

X 56 Y 56

Step-by-step explanation:

because 180-124=56

Which fraction is equal to
2/8
A. 1/4
B. 2/4
C. 3/4
D. 6/4
E. 4/8

Answers

Answer:

a

Step-by-step explanation:

because if you divide 8 by 2 the number 2 goes into 8 4 times so 4 divided by 1 is 4 because 1 goes into 4 4 times

Answer:

a

Step-by-step explanation:

half the fraction

8%2=4

2%2=1

1/4

please help!! For geometry

Answers

Step-by-step explanation:

m<15 = 97°

that is the answer

which expression is the additive invers of -5/8
A. 8/5
B.5/8
C. -5/8
D. -8/5

Answers

Answer:

c because it came by its formula

the inverse of negative is positive, so given that
you can see that -5/8 is negative
so the only one which is the opposite is b
5/8

it’s the same thing just in the inverse

please help I'm lost

Answers

Answer:

x=3

y=2

z=-3

Step-by-step explanation:

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