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Popular >

simplify (2)^{3/2}

Solution

simplify

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

Solution

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

+1

Solution steps

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

2^{\frac{3}{2}} = 2^{1 + \frac{1}{2}}

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

Apply exponent rule:

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

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

Refine

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

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Frequently Asked Questions (FAQ)

What is (2)^{3/2} ?
The solution to (2)^{3/2} is 2*2^{1/2}