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Popular >

simplify sqrt(b^a)

Solution

simplify

b^{a}

Solution

b^{\frac{a}{2}}

Solution steps

b^{a}

Apply radical rule:

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

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

Apply exponent rule:

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

assuming

a \geq 0

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

Simplify

a \frac{1}{2} : \frac{a}{2}

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

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Frequently Asked Questions (FAQ)

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