What is (4.2*10^9)(3.2*10^{-13}) ?

The solution to (4.2*10^9)(3.2*10^{-13}) is 0.001344

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simplify (4.210^9)(3.210^{-13})

simplify

(4.2 \cdot 1 0^{9}) (3.2 \cdot 1 0^{- 13})

0.001344

Solution steps

(4.2 \cdot 1 0^{9}) (3.2 \cdot 1 0^{- 13})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

1 0^{9} \cdot 1 0^{- 13} = 1 0^{9 - 13}

= 4.2 \cdot 3.2 \cdot 1 0^{9 - 13}

Subtract the numbers:

9 - 13 = - 4

= 4.2 \cdot 3.2 \cdot 1 0^{- 4}

Apply exponent rule:

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

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

= 3.2 \cdot 4.2 \cdot \frac{1}{1 0 ^{4}}

Multiply the numbers:

4.2 \cdot 3.2 = 13.44

= 13.44 \cdot \frac{1}{1 0 ^{4}}

Multiply fractions:

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

= \frac{1 \cdot 13.44}{1 0 ^{4}}

Multiply the numbers:

1 \cdot 13.44 = 13.44

= \frac{13.44}{1 0 ^{4}}

1 0^{4} = 10000

= \frac{13.44}{10000}

Divide the numbers:

\frac{13.44}{10000} = 0.001344

= 0.001344

(6.1 \cdot 1 0^{- 3}) (8 \cdot 1 0^{9})

(4 - y)^{3}

e^{- 0.145}

\frac{1}{2 π} e^{- 0.5 (0)^{2}}

What is (4.2*10^9)(3.2*10^{-13}) ?
The solution to (4.2*10^9)(3.2*10^{-13}) is 0.001344