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

Apply exponent rule:

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

assuming

a \geq 0

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

Simplify

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