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Popular >

simplify (sqrt(x))^{5x}

Solution

simplify

(x)^{5 x}

Solution

x^{\frac{5 x}{2}}

Solution steps

(x)^{5 x}

Apply radical rule:

a = a^{\frac{1}{2}}

= (x^{\frac{1}{2}})^{5 x}

Apply exponent rule:

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

assuming

a \geq 0

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

Simplify

\frac{1}{2} \cdot 5 x : \frac{5 x}{2}

= x^{\frac{5 x}{2}}

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Frequently Asked Questions (FAQ)

What is (sqrt(x))^{5x} ?
The solution to (sqrt(x))^{5x} is x^{(5x)/2}