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Popular >

simplify \sqrt[60]{300^{40}}

Solution

simplify

Solution

30 0^{\frac{2}{3}}

+1

Decimal Notation

44.81404 \dots

Solution steps

Apply radical rule:

= (30 0^{40})^{\frac{1}{60}}

Apply exponent rule:

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

= 30 0^{40 \cdot \frac{1}{60}}

40 \cdot \frac{1}{60} = \frac{2}{3}

= 30 0^{\frac{2}{3}}

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Frequently Asked Questions (FAQ)

What is \sqrt[60]{300^{40}} ?
The solution to \sqrt[60]{300^{40}} is 300^{2/3}