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Popular >

simplify sqrt(x^n)

Solution

simplify

x^{n}

Solution

x^{\frac{n}{2}}

Solution steps

x^{n}

Apply radical rule:

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

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

Apply exponent rule:

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

assuming

a \geq 0

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

Simplify

n \frac{1}{2} : \frac{n}{2}

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

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Frequently Asked Questions (FAQ)

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