What is (3\times 10^{21})(1.6\times 10^{-19}) ?

The solution to (3\times 10^{21})(1.6\times 10^{-19}) is 480

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simplify (3\times 10^{21})(1.6\times 10^{-19})

simplify

(3 \cdot 1 0^{21}) (1.6 \cdot 1 0^{- 19})

480

Solution steps

(3 \cdot 1 0^{21}) (1.6 \cdot 1 0^{- 19})

Apply exponent rule:

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

1 0^{21} \cdot 1 0^{- 19} = 1 0^{21 - 19}

= 3 \cdot 1.6 \cdot 1 0^{21 - 19}

Subtract the numbers:

21 - 19 = 2

= 3 \cdot 1.6 \cdot 1 0^{2}

Multiply the numbers:

3 \cdot 1.6 = 4.8

= 1 0^{2} \cdot 4.8

1 0^{2} = 100

= 100 \cdot 4.8

Multiply the numbers:

4.8 \cdot 100 = 480

= 480

18 \cdot 1 0^{- 9} \cdot \frac{1}{2 \cdot π \cdot 8.85 \cdot 1 0 ^{- 12} \cdot 0.03}

(e^{- 2 x}) (e^{3 x})

e^{- 0.066}

What is (3\times 10^{21})(1.6\times 10^{-19}) ?
The solution to (3\times 10^{21})(1.6\times 10^{-19}) is 480