Which applies the power of a product rule to simplify (5t)^3?

a. (5t)^3 =5t^3

b. (5t)^3 = 3(5t) = 15t

c. (5t)^3 = 5^3 t^3 = 125t^3

d. (5t)^3 = 5^3t = 125t

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Option C is correct

Step-by-step explanation:

use the power rule:

Given the expression:

Apply the power rule, we have;

Simplify:

or

Therefore, the  the power of a product rule to simplify (5t)^3 applied is,

the k side

step-by-step explanation:

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g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.