Question

Simplify the following using law of exponents.
$\frac{9^7}{9^{15}}$

• A. $9^{-8}$
• B. $\frac{1}{9^8}$
• C. $9^8$
• D. $9^{1/8}$

Answer 1

Answer: (A), (B)

The correct options are
A $9^{-8}$
B $\frac{1}{9^8}$

we know,

$\frac{a^m}{a^n}=a^{m-n}$

so,

$\frac{9^7}{9^{15}}$

$=9^{7-15}$

$=9^{-8}$

$=\frac{1}{9^8}$