Question

11
use the quotient of powers property to simplify the numerical expression.
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$6^{13-7}$
$6^6$
$6^{20}$
$6^{13+7}$
$6^7$
$6^6$

$6^{13} \div 6^7$
$6^{13} \div 6^7 = \square$ use the quotient of powers property.
$= \square$ simplify

Explanation:

Step1: Apply quotient of powers rule

For $\frac{a^m}{a^n}=a^{m-n}$, so $6^{13} \div 6^7 = 6^{13-7}$

Step2: Simplify the exponent

Calculate $13-7=6$, so $6^{13-7}=6^6$

Answer:

$6^{13} \div 6^7 = \boldsymbol{6^{13-7}} = \boldsymbol{6^6}$