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Popular >

simplify 3^3*9^{-2}0.2^2

Solution

simplify

3^{3} \cdot 9^{- 2} 0. 2^{2}

Solution

\frac{1}{75}

+1

Decimal Notation

0.01333 \dots

Solution steps

3^{3} \cdot 9^{- 2} \cdot 0. 2^{2}

3^{3} = 27

= 27 \cdot 9^{- 2} \cdot 0. 2^{2}

9^{- 2} = \frac{1}{81}

= 27 \cdot \frac{1}{81} \cdot 0. 2^{2}

0. 2^{2} = 0.04

= 27 \cdot \frac{1}{81} \cdot 0.04

Multiply the numbers:

27 \cdot 0.04 = 1.08

= 1.08 \cdot \frac{1}{81}

= \frac{1}{81} \cdot 1.08

1.08 = \frac{27}{25}

= \frac{1}{81} \cdot \frac{27}{25}

\frac{1}{81} \cdot \frac{27}{25} = \frac{1}{75}

= \frac{1}{75}

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Frequently Asked Questions (FAQ)

What is 3^3*9^{-2}0.2^2 ?
The solution to 3^3*9^{-2}0.2^2 is 1/75