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Popular >

simplify 5^{5/2}

Solution

simplify

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

Solution

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

+1

Solution steps

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

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

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

Apply exponent rule:

x^{a + b} = x^{a} x^{b}

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

5^{2} = 25

= 25 \cdot 5^{\frac{1}{2}}

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Frequently Asked Questions (FAQ)

What is 5^{5/2} ?
The solution to 5^{5/2} is 25*5^{1/2}