Question

use the quotient of powers property to simplify the numerical expression.
drag & drop the answer
$(-p)^{5}$
$(-p)^{2}$
$(-p)^{7-5}$
$(-p)^{13}$
$(-p)^{7+5}$
$(-p)^{7\cdot5}$
note: use ctrl+d to drag the option via keyboard
$(-p)^{7}\div(-p)^{5}$
use the quotient of powers property.
$(-p)^{7}\div(-p)^{5}=$
simplify
$= $

Explanation:

Step1: Apply quotient of powers rule

For same base $a$, $a^m \div a^n = a^{m-n}$. So:
$$(-p)^7 \div (-p)^5 = (-p)^{7-5}$$

Step2: Simplify the exponent

Calculate the subtraction in the exponent:
$$(-p)^{7-5} = (-p)^2$$

Answer:

First blank: $(-p)^{7-5}$
Second blank: $(-p)^2$