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Popular >

simplify 25^{2/4}

Solution

simplify

2 5^{\frac{2}{4}}

Solution

5

Solution steps

2 5^{\frac{2}{4}}

Factor the number:

25 = 5^{2}

= (5^{2})^{\frac{2}{4}}

Apply exponent rule:

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

= 5^{2 \cdot \frac{2}{4}}

2 \cdot \frac{2}{4} = 1

= 5^{1}

Apply exponent rule:

a^{1} = a

= 5

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Frequently Asked Questions (FAQ)

What is 25^{2/4} ?
The solution to 25^{2/4} is 5