What is (3.4*10^{-4})(0.678) ?

The solution to (3.4*10^{-4})(0.678) is 0.00023052

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simplify (3.4*10^{-4})(0.678)

simplify

(3.4 \cdot 1 0^{- 4}) (0.678)

0.00023052

Solution steps

(3.4 \cdot 1 0^{- 4}) (0.678)

Apply rule:

(a) = a

(0.678) = 0.678

= 3.4 \cdot 1 0^{- 4} \cdot 0.678

Multiply the numbers:

3.4 \cdot 0.678 = 2.3052

= 2.3052 \cdot 1 0^{- 4}

= 1 0^{- 4} \cdot 2.3052

Apply exponent rule:

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

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

= \frac{1}{1 0 ^{4}} \cdot 2.3052

1 0^{4} = 10000

= \frac{1}{10000} \cdot 2.3052

\frac{1}{10000} \cdot 2.3052 = \frac{2.3052}{10000}

= \frac{2.3052}{10000}

Divide the numbers:

\frac{2.3052}{10000} = 0.00023052

= 0.00023052

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What is (3.4*10^{-4})(0.678) ?
The solution to (3.4*10^{-4})(0.678) is 0.00023052