simplify: $left(8^{\frac{2}{3}}\right)^{4}$\n$8^{\frac{8}{3}}$\n$8^{\frac{6}{3}}$\n$8^{\frac{6}{12}}$\ndone
simplify: $left(8^{\frac{2}{3}}\right)^{4}$\n$8^{\frac{8}{3}}$\n$8^{\frac{6}{3}}$\n$8^{\frac{6}{12}}$\ndone
Answer
Explanation:
Step1: Apply power - of - a - power rule
According to the rule $(a^m)^n=a^{mn}$, for $(8^{\frac{2}{3}})^4$, we have $m = \frac{2}{3}$ and $n = 4$. So, $(8^{\frac{2}{3}})^4=8^{\frac{2}{3}\times4}$.
Step2: Calculate the exponent
$\frac{2}{3}\times4=\frac{8}{3}$. So, $8^{\frac{2}{3}\times4}=8^{\frac{8}{3}}$.
Answer:
$8^{\frac{8}{3}}$