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Popular >

simplify sqrt(5^x)

Solution

simplify

5^{x}

Solution

5^{\frac{x}{2}}

Solution steps

5^{x}

Apply radical rule:

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

= (5^{x})^{\frac{1}{2}}

Apply exponent rule:

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

= 5^{x \frac{1}{2}}

Simplify

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

= 5^{\frac{x}{2}}

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Frequently Asked Questions (FAQ)

What is sqrt(5^x) ?
The solution to sqrt(5^x) is 5^{x/2}