Question

question simplify: $(2r^{3})^{3}$ answer attempt 1 out of 2

Explanation:

Step1: Apply power - of - a - product rule

$(2r^{3})^{3}=2^{3}\times(r^{3})^{3}$

Step2: Calculate $2^{3}$ and $(r^{3})^{3}$

$2^{3}=8$, and using the power - of - a - power rule $(a^{m})^{n}=a^{mn}$, $(r^{3})^{3}=r^{3\times3}=r^{9}$

Step3: Multiply the results

$2^{3}\times(r^{3})^{3}=8r^{9}$

Answer:

$8r^{9}$