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Popular >

simplify (3)^{3/2}

Solution

simplify

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

Solution

3 \cdot 3^{\frac{1}{2}}

+1

Decimal Notation

5.19615 \dots

Solution steps

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

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

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

Apply exponent rule:

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

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

Refine

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

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(\sqrt[3]{x-3})*(\sqrt[4]{x-2})>= 0

Frequently Asked Questions (FAQ)

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