Question

Dahlia is simplifying (3t)^4 using these steps:

(3t)^4= 3t*3t*3t*3t=3*3*3*3*t*t*t*t


Although Dahlia is correct so far, which step could she have used instead to simplify the expression ?

A. 3t^4=3t^4
B.3^4t=81t
C. 4(3t)=12t
D.3^4t^4=81t^4

Answer 1

D) 3^4t^4=81t^4

I just took the quiz on edge

Answer 2

Dahlia could have raised both the coefficient and variable to the power of 4

Simplifying exponential functions

Given the exponential expression as shown below;

(3t)^4

This shows that we are to multiply 3t in 4 places to have;

(3t)^4 = (3t) * 3t * 3t * 3t

(3t)^4 = 3^4 * t^4

(3t)^4 = 81t^4

This shows that Dahlia could have raised both the coefficient and variable to the power of 4

Learn more on exponents here:https://brainly.com/question/11975096

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