Question

Which expressions are equivalent to the one below check that all apply 25^x

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

Answer 1

Options A, B, C, and D are equivalent to 25^x.

Step-by-step explanation:

To check which expressions are equivalent to 25^x, we can simplify each option and see if they give us the same result. Let's go through the options:

A. 5^x * 5^x = 5^(x + x) = 5^(2x)

B. 5 * 5^(2x) = 5^(1 + 2x) = 5^(2x + 1)

C. (5 * 5)^x = 25^x

D. 5 * 5^x = 5^(1 + x) = 5^(x + 1)

E. 5^2 * 5^x = 5^(2 + x) = 5^(x + 2)

F. 5^(2x)

So, options A, B, C, and D are equivalent to 25^x.