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Popular >

simplify 3^{-3}0.3^00.4^2

Solution

simplify

3^{- 3} 0. 3^{0} 0. 4^{2}

Solution

\frac{4}{675}

+1

Solution steps

3^{- 3} \cdot 0. 3^{0} \cdot 0. 4^{2}

3^{- 3} = \frac{1}{27}

= \frac{1}{27} \cdot 0. 3^{0} \cdot 0. 4^{2}

Apply exponent rule:

a^{0} = 1, a \neq = 0

0. 3^{0} = 1

= \frac{1}{27} \cdot 1 \cdot 0. 4^{2}

0. 4^{2} = 0.16

= \frac{1}{27} \cdot 1 \cdot 0.16

Multiply the numbers:

1 \cdot 0.16 = 0.16

= \frac{1}{27} \cdot 0.16

0.16 = \frac{4}{25}

= \frac{1}{27} \cdot \frac{4}{25}

\frac{1}{27} \cdot \frac{4}{25} = \frac{4}{675}

= \frac{4}{675}

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Frequently Asked Questions (FAQ)

What is 3^{-3}0.3^00.4^2 ?
The solution to 3^{-3}0.3^00.4^2 is 4/675