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Popular >

simplify 625^{1/2}

Solution

simplify

62 5^{\frac{1}{2}}

Solution

25

Solution steps

62 5^{\frac{1}{2}}

Factor the number:

625 = 2 5^{2}

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

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

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

2 \cdot \frac{1}{2} = 1

= 2 5^{1}

Apply exponent rule:

a^{1} = a

= 25

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Frequently Asked Questions (FAQ)

What is 625^{1/2} ?
The solution to 625^{1/2} is 25