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Popular >

simplify (sqrt(a))^r

Solution

simplify

(a)^{r}

Solution

a^{\frac{r}{2}}

Solution steps

(a)^{r}

Apply radical rule:

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

= (a^{\frac{1}{2}})^{r}

Apply exponent rule:

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

assuming

a \geq 0

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

Simplify

\frac{1}{2} r : \frac{r}{2}

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

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Frequently Asked Questions (FAQ)

What is (sqrt(a))^r ?
The solution to (sqrt(a))^r is a^{r/2}