Question

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

Answer 1

Answer:

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