Question

question
fully simplify.
$(-6x^{3}y^{5})^{4}$
answer attempt 1 out of 2

Explanation:

Step1: Apply power of a product rule

$(-6)^4 \cdot (x^3)^4 \cdot (y^5)^4$

Step2: Calculate constant term

$(-6)^4 = 1296$

Step3: Simplify $x$ term via power rule

$(x^3)^4 = x^{3 \times 4} = x^{12}$

Step4: Simplify $y$ term via power rule

$(y^5)^4 = y^{5 \times 4} = y^{20}$

Step5: Combine all simplified terms

$1296 \cdot x^{12} \cdot y^{20}$

Answer:

$1296x^{12}y^{20}$