What is equivalent to 5^3 (Choose all that apply)

A) 5^7*5^-4

B) 5^12/5^4

C) 5+5^2

D) 5^0*5^3

E) 5^3-5^0

A, and D

Step-by-step explanation:

A works because when you multiply like bases, you add exponents, so we have ...

5^7*5^-4 = 5^ (7 + (-4)) = 5^ (7 - 4) = 5^3

B doesn't work because when you divide like bases, you subtract the exponent of the denominator from the exponent of the denominator ...

5^12/5^4 = 5^ (12 - 4) = 5^8

C doesn't work because there is addition.

5 + 5² = 5 + 25 = 30, and 5³ = 125

D works because 5^0 = 1, so we have

5^0 (5^3) = 1 (5^3) = 5^3

E doesn't work because there is subtraction ...

5^3 - 5^0 = 5^3 - 1 = 124