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Popular >

simplify 625^{5/4}

Solution

simplify

62 5^{\frac{5}{4}}

Solution

3125

Solution steps

62 5^{\frac{5}{4}}

Factor the number:

625 = 5^{4}

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

Apply exponent rule:

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

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

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

= 5^{5}

5^{5} = 3125

= 3125

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Frequently Asked Questions (FAQ)

What is 625^{5/4} ?
The solution to 625^{5/4} is 3125