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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^{\frac{1}{2}})^{2 x}

Apply exponent rule:

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

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

Simplify

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