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Popular >

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

Solution

simplify

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

Solution

\frac{4 \cdot 2 ^{\frac{1}{2}}}{3}

+1

Decimal Notation

1.88561 \dots

Solution steps

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

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

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

1 + \frac{3}{2} = \frac{5}{2}

= \frac{2 ^{\frac{5}{2}}}{3}

2^{\frac{5}{2}} = 4 \cdot 2^{\frac{1}{2}}

= \frac{4 \cdot 2 ^{\frac{1}{2}}}{3}

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Frequently Asked Questions (FAQ)

What is (2(2)^{3/2})/3 ?
The solution to (2(2)^{3/2})/3 is (4*2^{1/2})/3