Question

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

Answer 1

Answer:

C

Step-by-step explanation:

using the rules of exponents

• $a^{m}$ × $a^{n}$ = $a^{(m+n)}$

given $\frac{a^{n} }{a^{3} }$ = $a^{9}$

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