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Popular >

simplify \sqrt[120]{5^{30}}

Solution

simplify

Solution

+1

Decimal Notation

1.49534 \dots

Solution steps

Apply radical rule:

= (5^{30})^{\frac{1}{120}}

Apply exponent rule:

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

= 5^{30 \cdot \frac{1}{120}}

30 \cdot \frac{1}{120} = \frac{1}{4}

= 5^{\frac{1}{4}}

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Frequently Asked Questions (FAQ)

What is \sqrt[120]{5^{30}} ?
The solution to \sqrt[120]{5^{30}} is \sqrt[4]{5}