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

B, E, F

Step-by-step 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

step-by-step explanation:

descending order means to order the polynomials from the term with the largest exponent to the term with the smallest exponent.  

therefore, the correct answer is d.