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,

since proposition states that a number is greater than 25, if is true then the number must actually be greater than 25.

this implies that all possible options, except 24, can be accepted