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Popular >

simplify 4^{{5/2 }}

Solution

simplify

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

Solution

32

Solution steps

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

Factor the number:

4 = 2^{2}

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

Apply exponent rule:

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

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

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

= 2^{5}

2^{5} = 32

= 32

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Frequently Asked Questions (FAQ)

What is 4^{{5/2 }} ?
The solution to 4^{{5/2 }} is 32