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(8)/(root(3)(k^(2)))

$\frac{8}{\sqrt[3]{k^{2}}}$

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Evaluate rational exponents

Full solution

Q.

\frac{8}{\sqrt[3]{k^{2}}}

Identify Expression Rewrite: Identify the expression and rewrite it using rational exponents. $\newline$ $\frac{8}{\sqrt[3]{k^{2}}} = \frac{8}{k^{\frac{2}{3}}}$
Simplify Fraction with Power of $2$ : Simplify the fraction by expressing $8$ as a power of $2$ . $8 = 2^3$ So, $(2^3)/(k^{2/3})$
Combine Exponents under Single Exponent: Combine the exponents by writing the expression under a single exponent. $\newline$ $(2^3)/(k^{2/3}) = 2^{3 - 2/3}$

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