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Popular >

simplify (2/3)(1/3)^2

Solution

simplify

(\frac{2}{3}) (\frac{1}{3})^{2}

Solution

\frac{2}{27}

+1

Decimal Notation

0.07407 \dots

Solution steps

(\frac{2}{3}) (\frac{1}{3})^{2}

Apply rule:

(a) = a

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

= \frac{2}{3} (\frac{1}{3})^{2}

Apply exponent rule:

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

(\frac{1}{3})^{2} = \frac{1 ^{2}}{3 ^{2}}

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

1^{2} = 1

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

3^{2} = 9

= \frac{2}{3} \cdot \frac{1}{9}

\frac{2}{3} \cdot \frac{1}{9} = \frac{2}{27}

= \frac{2}{27}

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Frequently Asked Questions (FAQ)

What is (2/3)(1/3)^2 ?
The solution to (2/3)(1/3)^2 is 2/27