Question

simplify.
(5b^2a^3)^3
write your answer without parentheses

Explanation:

Step1: Apply power - of - a - product rule

$(5b^{2}a^{3})^{3}=5^{3}\times(b^{2})^{3}\times(a^{3})^{3}$

Step2: Calculate $5^{3}$

$5^{3}=5\times5\times5 = 125$

Step3: Apply power - of - a - power rule for $(b^{2})^{3}$ and $(a^{3})^{3}$

$(b^{2})^{3}=b^{2\times3}=b^{6}$ and $(a^{3})^{3}=a^{3\times3}=a^{9}$

Step4: Combine the results

$5^{3}\times(b^{2})^{3}\times(a^{3})^{3}=125b^{6}a^{9}$

Answer:

$125b^{6}a^{9}$