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Popular >

simplify 2/3 (3)^{3/2}

Solution

simplify

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

Solution

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

+1

Decimal Notation

3.46410 \dots

Solution steps

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

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

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Cancel the common factor:

3

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

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Frequently Asked Questions (FAQ)

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