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Popular >

simplify 2/3 10^{3/2}

Solution

simplify

\frac{2}{3} 1 0^{\frac{3}{2}}

Solution

\frac{20 \cdot 1 0 ^{\frac{1}{2}}}{3}

+1

Decimal Notation

21.08185 \dots

Solution steps

\frac{2}{3} \cdot 1 0^{\frac{3}{2}}

1 0^{\frac{3}{2}} = 10 \cdot 1 0^{\frac{1}{2}}

= 10 \cdot 1 0^{\frac{1}{2}} \cdot \frac{2}{3}

Multiply fractions:

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

= \frac{2 \cdot 10 \cdot 1 0 ^{\frac{1}{2}}}{3}

Multiply the numbers:

2 \cdot 10 = 20

= \frac{20 \cdot 1 0 ^{\frac{1}{2}}}{3}

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Frequently Asked Questions (FAQ)

What is 2/3 10^{3/2} ?
The solution to 2/3 10^{3/2} is (20*10^{1/2})/3