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Popular >

simplify (\sqrt[4]{x})^{40-k}

Solution

simplify

Solution

x^{\frac{- k + 40}{4}}

Solution steps

Apply radical rule:

= (x^{\frac{1}{4}})^{40 - k}

Apply exponent rule:

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

assuming

a \geq 0

= x^{\frac{1}{4} (40 - k)}

Simplify

\frac{1}{4} (40 - k) : \frac{40 - k}{4}

= x^{\frac{40 - k}{4}}

= x^{\frac{- k + 40}{4}}

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Frequently Asked Questions (FAQ)

What is (\sqrt[4]{x})^{40-k} ?
The solution to (\sqrt[4]{x})^{40-k} is x^{(-k+40)/4}