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Popular >

simplify \sqrt[x]{0.5^{10}}

Solution

simplify

Solution

0. 5^{\frac{10}{x}}

Solution steps

Apply radical rule:

= (0. 5^{10})^{\frac{1}{x}}

Apply exponent rule:

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

= 0. 5^{10 \cdot \frac{1}{x}}

Simplify

10 \cdot \frac{1}{x} : \frac{10}{x}

= 0. 5^{\frac{10}{x}}

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Frequently Asked Questions (FAQ)

What is \sqrt[x]{0.5^{10}} ?
The solution to \sqrt[x]{0.5^{10}} is 0.5^{(10)/x}