Question

13
use the product of powers property to simplify the numerical expression.
drag & drop the answer
$(-a)^{3+3}$
$(-a)^{6}$
$(-a)^{3-3}$
$(-a)^{0}$
$(-a)^{3·3}$
$(-a)^{9}$
note: use ctrl+d to drag the option via keyboard
$(-a)^3 \cdot (-a)^3 = \square$
use the product of powers property.
$= \square$
simplify

Explanation:

Step1: Apply product of powers rule

When multiplying exponents with the same base, add the exponents: $x^m \cdot x^n = x^{m+n}$. For $(-a)^3 \cdot (-a)^3$, this gives:
$$(-a)^{3+3}$$

Step2: Simplify the exponent

Calculate the sum in the exponent:
$$3+3=6$$
So the expression becomes:
$$(-a)^6$$

Answer:

First blank: $(-a)^{3+3}$
Second blank: $(-a)^6$