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Popular >

simplify sqrt(3^{2x)}

Solution

simplify

3^{2 x}

Solution

3^{x}

Solution steps

3^{2 x}

Apply radical rule:

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

= (3^{2 x})^{\frac{1}{2}}

Apply exponent rule:

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

= 3^{2 x \frac{1}{2}}

Simplify

2 x \frac{1}{2} : x

= 3^{x}

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Frequently Asked Questions (FAQ)

What is sqrt(3^{2x)} ?
The solution to sqrt(3^{2x)} is 3^x