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Popular >

simplify (25)^{3/2}

Solution

simplify

(25)^{\frac{3}{2}}

Solution

125

Solution steps

2 5^{\frac{3}{2}}

Factor the number:

25 = 5^{2}

= (5^{2})^{\frac{3}{2}}

Apply exponent rule:

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

= 5^{2 \cdot \frac{3}{2}}

2 \cdot \frac{3}{2} = 3

= 5^{3}

5^{3} = 125

= 125

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Frequently Asked Questions (FAQ)

What is (25)^{3/2} ?
The solution to (25)^{3/2} is 125