Given the expression:
[tex](8n^6)^{\frac{5}{3}}[/tex]Let's simplify the expression.
First rewrite 2³ for 8:
[tex](2^3n^6)^{\frac{5}{3}}[/tex]To simplify the expression, apply distributive property and distribute the exponent outside the parentheses to the terms.
We have:
[tex]2^{3*\frac{5}{3}}*n^{6*\frac{5}{3}}[/tex]Simplify the exponents:
[tex]\begin{gathered} 2^5n^{\frac{6*5}{3}} \\ \\ 2^5n^{\frac{30}{3}} \\ \\ 2^5n^{10} \\ \\ =32n^{10} \end{gathered}[/tex]ANSWER:
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