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Popular >

simplify (3/(sqrt(2)))^3

Solution

simplify

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

Solution

\frac{27}{2 2}

+1

Decimal Notation

9.54594 \dots

Solution steps

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

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

3^{3} = 27

= \frac{27}{( 2 ) ^{3}}

(2)^{3} = 22

= \frac{27}{2 2}

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Frequently Asked Questions (FAQ)

What is (3/(sqrt(2)))^3 ?
The solution to (3/(sqrt(2)))^3 is (27)/(2sqrt(2))