Question

use the product of powers property to simplify the numerical expression.
drag & drop the answer
$13^{15}$
$13^{5+10}$
$3^{15}$
$13^{5-10}$
$13^{50}$
$13^{10-5}$
$13^{15}$
note: use ctrl+d to drag the option via keyboard
$13^5 \cdot 13^{10}$
use the product of powers property.
$13^5 \cdot 13^{10} = \square$
simplify
$= \square$

Explanation:

Step1: Apply product of powers rule

The product of powers property states $a^m \cdot a^n = a^{m+n}$. For $13^5 \cdot 13^{10}$, substitute $a=13$, $m=5$, $n=10$:
$13^5 \cdot 13^{10} = 13^{5+10}$

Step2: Simplify the exponent

Calculate the sum in the exponent:
$13^{5+10} = 13^{15}$

Answer:

$13^{5+10}$ (first blank), $13^{15}$ (second blank)