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Popular >

simplify \sqrt[5]{1000^2}

Solution

simplify

Solution

100 0^{\frac{2}{5}}

+1

Decimal Notation

15.84893 \dots

Solution steps

Apply radical rule:

= (100 0^{2})^{\frac{1}{5}}

Apply exponent rule:

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

= 100 0^{2 \cdot \frac{1}{5}}

2 \cdot \frac{1}{5} = \frac{2}{5}

= 100 0^{\frac{2}{5}}

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Frequently Asked Questions (FAQ)

What is \sqrt[5]{1000^2} ?
The solution to \sqrt[5]{1000^2} is 1000^{2/5}