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Popular >

simplify \sqrt[-0.2]{x^2}

Solution

simplify

Solution

\frac{1}{x ^{10}}

Solution steps

Apply radical rule:

= (x^{2})^{\frac{1}{- 0.2}}

Apply exponent rule:

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

assuming

a \geq 0

= x^{2 \cdot \frac{1}{- 0.2}}

2 \cdot \frac{1}{- 0.2} = - 10

= x^{- 10}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{x ^{10}}

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Frequently Asked Questions (FAQ)

What is \sqrt[-0.2]{x^2} ?
The solution to \sqrt[-0.2]{x^2} is 1/(x^{10)}