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Popular >

simplify sqrt(3^x)

Solution

simplify

3^{x}

Solution

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

Solution steps

3^{x}

Apply radical rule:

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

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

Apply exponent rule:

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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