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Popular >

simplify 3(2/3)^3

Solution

simplify

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

Solution

\frac{8}{9}

+1

Decimal Notation

0.88888 \dots

Solution steps

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

Apply exponent rule:

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

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

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

2^{3} = 8

= 3 \cdot \frac{8}{3 ^{3}}

3^{3} = 27

= 3 \cdot \frac{8}{27}

3 \cdot \frac{8}{27} = \frac{8}{9}

= \frac{8}{9}

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Frequently Asked Questions (FAQ)

What is 3(2/3)^3 ?
The solution to 3(2/3)^3 is 8/9