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Popular >

simplify 3/4(2/3)^22/6

Solution

simplify

\frac{3}{4} \cdot (\frac{2}{3})^{2} \cdot \frac{2}{6}

Solution

\frac{1}{9}

+1

Decimal Notation

0.11111 \dots

Solution steps

\frac{3}{4} (\frac{2}{3})^{2} \frac{2}{6}

Apply exponent rule:

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

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

= \frac{3}{4} \cdot \frac{2 ^{2}}{3 ^{2}} \cdot \frac{2}{6}

2^{2} = 4

= \frac{3}{4} \cdot \frac{4}{3 ^{2}} \cdot \frac{2}{6}

3^{2} = 9

= \frac{3}{4} \cdot \frac{4}{9} \cdot \frac{2}{6}

\frac{3}{4} \cdot \frac{4}{9} \cdot \frac{2}{6} = \frac{1}{9}

= \frac{1}{9}

Popular Examples

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- 2 + (- 3) + 4 - (- 3) - 5

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\frac{17}{21} \cdot \frac{9}{14}

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\frac{4 9 ^{\frac{3}{8}} \cdot 4 9 ^{\frac{7}{8}}}{7 ^{\frac{5}{4}}}

5 x^{2} + 9 x - 72 = 0

Frequently Asked Questions (FAQ)

What is 3/4*(2/3)^2*2/6 ?
The solution to 3/4*(2/3)^2*2/6 is 1/9