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Popular >

simplify sqrt(3^{x-1)}

Solution

simplify

3^{x - 1}

Solution

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

Solution steps

3^{x - 1}

Apply radical rule:

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

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

Apply exponent rule:

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

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

Simplify

(x - 1) \frac{1}{2} : \frac{x - 1}{2}

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

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Frequently Asked Questions (FAQ)

What is sqrt(3^{x-1)} ?
The solution to sqrt(3^{x-1)} is 3^{(x-1)/2}