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Popular >

simplify \sqrt[24]{7^3}

Solution

simplify

Solution

+1

Decimal Notation

1.27537 \dots

Solution steps

Apply radical rule:

= (7^{3})^{\frac{1}{24}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= 7^{3 \cdot \frac{1}{24}}

3 \cdot \frac{1}{24} = \frac{1}{8}

= 7^{\frac{1}{8}}

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Frequently Asked Questions (FAQ)

What is \sqrt[24]{7^3} ?
The solution to \sqrt[24]{7^3} is \sqrt[8]{7}