What is (0.4)^2*(4)^{-2}*(3)^{-1} ?

The solution to (0.4)^2*(4)^{-2}*(3)^{-1} is 1/300

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simplify (0.4)^2(4)^{-2}(3)^{-1}

simplify

(0.4)^{2} \cdot (4)^{- 2} \cdot (3)^{- 1}

\frac{1}{300}

Decimal Notation

0.00333 \dots

Solution steps

0. 4^{2} \cdot 4^{- 2} \cdot 3^{- 1}

0. 4^{2} = 0.16

= 0.16 \cdot 4^{- 2} \cdot 3^{- 1}

4^{- 2} = \frac{1}{16}

= 0.16 \cdot \frac{1}{16} \cdot 3^{- 1}

Apply exponent rule:

a^{- 1} = \frac{1}{a}

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

= 0.16 \cdot \frac{1}{16} \cdot \frac{1}{3}

0.16 = \frac{4}{25}

= \frac{4}{25} \cdot \frac{1}{16} \cdot \frac{1}{3}

\frac{4}{25} \cdot \frac{1}{16} \cdot \frac{1}{3} = \frac{1}{300}

= \frac{1}{300}

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What is (0.4)^2*(4)^{-2}*(3)^{-1} ?
The solution to (0.4)^2*(4)^{-2}*(3)^{-1} is 1/300