Question

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

25^x
A. 5^x•5^x B. 5•5^x
C. 5^2•5^x
D. 5^2x
E. 5•5^2x F. (5•5)^x

Answer 1

A. 5^x•5^x

D. 5^(2x)

F. (5•5)^x

Explanation:

25^x = (5•5)^x = (5^2)^x = 5^(2x) = (5^x)^2 = (5^x)•(5^x)

__

The applicable rules of exponents are ...

(a^b)^c = a^(bc)

a•a = a^2