What is (0.4*10^{-6})(0.7*10^{-2}) ?

The solution to (0.4*10^{-6})(0.7*10^{-2}) is 0.0000000028

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simplify (0.410^{-6})(0.710^{-2})

simplify

(0.4 \cdot 1 0^{- 6}) (0.7 \cdot 1 0^{- 2})

0.0000000028

Solution steps

(0.4 \cdot 1 0^{- 6}) (0.7 \cdot 1 0^{- 2})

Simplify

0.4 \cdot 1 0^{- 6} : 0.0000004

= 0.0000004 \cdot 0.7 \cdot 1 0^{- 2}

Apply exponent rule:

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

1 0^{- 2} = \frac{1}{1 0 ^{2}}

= 0.0000004 \cdot 0.7 \cdot \frac{1}{1 0 ^{2}}

1 0^{2} = 100

= 0.0000004 \cdot 0.7 \cdot \frac{1}{100}

Multiply the numbers:

0.0000004 \cdot 0.7 = 0.00000028

= 0.00000028 \cdot \frac{1}{100}

= \frac{1}{100} \cdot 0.00000028

\frac{1}{100} \cdot 0.00000028 = \frac{0.00000028}{100}

= \frac{0.00000028}{100}

Divide the numbers:

\frac{0.00000028}{100} = 0.0000000028

= 0.0000000028

1.7 \cdot 1 0^{- 6}

7 e^{- 3}

1.7 \cdot 1 0^{- 5}

1.7 \cdot 1 0^{- 4}

What is (0.4*10^{-6})(0.7*10^{-2}) ?
The solution to (0.4*10^{-6})(0.7*10^{-2}) is 0.0000000028