Question

What is the value of n in the equation below? a^n/a^3=a^9

A.)3
B.)6
C.)12
D.)27

Answer 1

c

Explanation:

i got it right on the test on edge 2020

Answer 2

C

Explanation:

using the rules of exponents

•
`a^(m)` ×
`a^(n)` =
`a^((m+n))`

given
`(a^(n) )/(a^(3) )` =
`a^(9)`

multiply both sides by
`a^(3)`

`a^(n)` =
`a^(9)` ×
`a^(3)` =
`a^(12)`

since bases on both sides are a, equate the exponents, hence

n = 12 → C