Question

question
fully simplify.
(6x³y³)⁵
answer attempt 1 out of 2

Explanation:

Step1: Apply power of a product rule

$(ab)^n=a^n b^n$, so $(6x^3y^3)^5=6^5 \cdot (x^3)^5 \cdot (y^3)^5$

Step2: Calculate numerical exponent

$6^5=6\times6\times6\times6\times6=7776$

Step3: Apply power of a power rule

$(a^m)^n=a^{m\times n}$, so $(x^3)^5=x^{3\times5}=x^{15}$, $(y^3)^5=y^{3\times5}=y^{15}$

Step4: Combine all terms

Multiply the results from steps 2 and 3

Answer:

$7776x^{15}y^{15}$