Question

Which expressions are equivalent to the one below? Check all that apply

64^x

A. 8^2*8^x

B. (8*8)^x

C. 8*8^2x

D. 8*8^x

E. 8^2x

F. 8^x*8^x

Answer 1

8^2x 8^x (8•8)^x

Explanation:

Answer 2

B, E, F

Explanation:

Equivalent expressions are expressions which are equal. To show expressions are equal, reduce to lowest terms by simplifying using exponent rules.

A. 8^2*8^x = 8^2+x

B. (8*8)^x = 64^x

C. 8*8^2x = 8^(2x +1)

D. 8*8^x = 8 ^ (x+1)

E. 8^2x = 64^x

F. 8^x*8^x = 8^(x+x) = 8^(2x) = 64^x