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Popular >

simplify ((0.2)10^{-4})10

Solution

simplify

((0.2) \cdot 1 0^{- 4}) \cdot 10

Solution

0.0002

Solution steps

((0.2) \cdot 1 0^{- 4}) \cdot 10

Apply rule:

(a) = a

(0.2) = 0.2

= 0.2 \cdot 1 0^{- 4} \cdot 10

Apply exponent rule:

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

1 0^{- 4} = \frac{1}{1 0 ^{4}}

= 0.2 \cdot \frac{1}{1 0 ^{4}} \cdot 10

1 0^{4} = 10000

= 0.2 \cdot \frac{1}{10000} \cdot 10

0.2 \cdot \frac{1}{10000} = \frac{0.2}{10000}

= \frac{0.2}{10000} \cdot 10

Divide the numbers:

\frac{0.2}{10000} = 0.00002

= 0.00002 \cdot 10

Multiply the numbers:

0.00002 \cdot 10 = 0.0002

= 0.0002

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Frequently Asked Questions (FAQ)

What is ((0.2)*10^{-4})*10 ?
The solution to ((0.2)*10^{-4})*10 is 0.0002