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Popular >

simplify \sqrt[4]{10^3}

Solution

simplify

Solution

1 0^{\frac{3}{4}}

+1

Decimal Notation

5.62341 \dots

Solution steps

Apply radical rule:

= (1 0^{3})^{\frac{1}{4}}

Apply exponent rule:

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

= 1 0^{3 \cdot \frac{1}{4}}

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

= 1 0^{\frac{3}{4}}

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Frequently Asked Questions (FAQ)

What is \sqrt[4]{10^3} ?
The solution to \sqrt[4]{10^3} is 10^{3/4}