What is (5*10^{-11})(8.4*10^5) ?

The solution to (5*10^{-11})(8.4*10^5) is 0.000042

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simplify (510^{-11})(8.410^5)

simplify

(5 \cdot 1 0^{- 11}) (8.4 \cdot 1 0^{5})

0.000042

Solution steps

(5 \cdot 1 0^{- 11}) (8.4 \cdot 1 0^{5})

Apply exponent rule:

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

= 1 0^{5} \cdot 5 \cdot 8.4 \cdot \frac{1}{1 0 ^{11}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= 8.4 \cdot \frac{1 0 ^{5} \cdot 1 \cdot 5}{1 0 ^{11}}

\frac{1 \cdot 5 \cdot 1 0 ^{5}}{1 0 ^{11}} = \frac{1}{200000}

= 8.4 \cdot \frac{1}{200000}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 8.4}{200000}

Multiply the numbers:

1 \cdot 8.4 = 8.4

= \frac{8.4}{200000}

Divide the numbers:

\frac{8.4}{200000} = 0.000042

= 0.000042

\frac{1}{12} e^{4 x} \cdot e^{- x}

6.43 \cdot 1 0^{- 4}

6.75 \cdot 1 0^{- 2} \cdot 4 π \cdot 11 5^{2} \cdot 0.21

1.6 \cdot 1 0^{- 19} \cdot 2

1.6 \cdot 1 0^{- 19} \cdot 4

What is (5*10^{-11})(8.4*10^5) ?
The solution to (5*10^{-11})(8.4*10^5) is 0.000042