Question

select all the expressions that are equivalent to $\frac{6^{36}}{6^{9}}$.
$6^{4}$
$6^{-27}$
$6^{45}$
$6^{27}$

Explanation:

Step1: Apply exponent division rule

When dividing exponents with the same base, subtract the denominator exponent from the numerator exponent: $a^m \div a^n = a^{m-n}$
$\frac{6^{36}}{6^9} = 6^{36-9}$

Step2: Calculate the exponent

Subtract the two values in the exponent.
$6^{36-9} = 6^{27}$

Answer:

$6^{27}$