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Popular >

simplify sqrt(25^p)

Solution

simplify

2 5^{p}

Solution

5^{p}

Solution steps

2 5^{p}

Apply radical rule:

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

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

Apply exponent rule:

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

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

Simplify

p \frac{1}{2} : \frac{p}{2}

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

Factor the number:

25 = 5^{2}

= (5^{2})^{\frac{p}{2}}

Apply exponent rule:

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

(5^{2})^{\frac{p}{2}} = 5^{2 \cdot \frac{p}{2}} = 5^{p}

= 5^{p}

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Frequently Asked Questions (FAQ)

What is sqrt(25^p) ?
The solution to sqrt(25^p) is 5^p