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Popular >

simplify 25^{4/2}

Solution

simplify

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

Solution

625

Solution steps

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

Factor the number:

25 = 5^{2}

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

Apply exponent rule:

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

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

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

= 5^{4}

5^{4} = 625

= 625

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(\frac{y}{4})^{2}

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\frac{2}{7} + \frac{5}{14}

Frequently Asked Questions (FAQ)

What is 25^{4/2} ?
The solution to 25^{4/2} is 625