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Popular >

simplify (\sqrt[4]{7^3})^{4/3}

Solution

simplify

Solution

7

Solution steps

Apply radical rule:

= (7^{\frac{3}{4}})^{\frac{4}{3}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 7^{\frac{3}{4} \cdot \frac{4}{3}}

\frac{3}{4} \cdot \frac{4}{3} = 1

= 7^{1}

Apply exponent rule:

a^{1} = a

= 7

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Frequently Asked Questions (FAQ)

What is (\sqrt[4]{7^3})^{4/3} ?
The solution to (\sqrt[4]{7^3})^{4/3} is 7