Question

Find the value of n , $\frac{6^n}{6^{-2}}=6^3$

• A. $n=1$
• B. $n=3$
• C. $n=5$
• D. $n=8$

Answer 1

The correct option is A $n=1$

$\frac{6^n}{6^{-2}}=6^3$
$6^n\times 6^2=6^3$
$6^{n+2}=6^3$
$n+2=3$
$n=3-2$
$n=1$