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Aloiza [94]3 years ago

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Bhis the answer u can write

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Which expression is equivalent to 24 Superscript one-third?

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See explanation

Step-by-step explanation:

The given expression is: $(24)^{\frac{1}{3}}$

Recall that 24=3*8

$\implies(24)^{\frac{1}{3}}=(8*3)^{\frac{1}{3}}$

Recall again that:

$(a*b)^n=a^n*b^n$

$\implies (8*3)^{\frac{1}{3}}=(8)^{\frac{1}{3}}*(3)^{\frac{1}{3}}$

$\implies (8*3)^{\frac{1}{3}}=(2^3)^{\frac{1}{3}}*(3)^{\frac{1}{3}}$

$\implies (8*3)^{\frac{1}{3}}=2^{3*\frac{1}{3}}*(3)^{\frac{1}{3}}$

$\implies (8*3)^{\frac{1}{3}}=2*(3)^{\frac{1}{3}}$

We rewrite in radical form to obtain

$\implies (8*3)^{\frac{1}{3}}=2\sqrt[3]{3}$

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