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Popular >

simplify sqrt(x^{12a)}

Solution

simplify

x^{12 a}

Solution

x^{6 a}

Solution steps

x^{12 a}

Apply radical rule:

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

= (x^{12 a})^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

= x^{12 a \frac{1}{2}}

Simplify

12 a \frac{1}{2} : 6 a

= x^{6 a}

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Frequently Asked Questions (FAQ)

What is sqrt(x^{12a)} ?
The solution to sqrt(x^{12a)} is x^{6a}