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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


PLEASE HELP IF I DON'T FINISH E2020 I WON'T GRADUATE THIS YEAR

Respuesta :

i think the right answer is C.

Answer:

Option C is correct

[tex](5t)^3 = 5^3 \cdot t^3 = 125t^3[/tex]

Step-by-step explanation:

use the power rule:

[tex](ab)^m = a^m \cdot b^m[/tex]

Given the expression:

[tex](5t)^3[/tex]

Apply the power rule, we have;

[tex]5^3 \cdot t^3[/tex]

Simplify:

[tex]125 \cdot t^3[/tex]

or

[tex]125t^3[/tex]

Therefore, the  the power of a product rule to simplify (5t)^3 applied is, [tex](5t)^3 = 5^3 \cdot t^3 = 125t^3[/tex]

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