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Popular >

simplify sqrt(z^{2n)}

Solution

simplify

z^{2 n}

Solution

z^{n}

Solution steps

z^{2 n}

Apply radical rule:

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

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

Apply exponent rule:

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

assuming

a \geq 0

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

Simplify

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

= z^{n}

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Frequently Asked Questions (FAQ)

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