What is (9*10^{-12})(6.02214*10^{23}) ?

The solution to (9*10^{-12})(6.02214*10^{23}) is 5419926000000

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simplify (910^{-12})(6.0221410^{23})

simplify

(9 \cdot 1 0^{- 12}) (6.02214 \cdot 1 0^{23})

5419926000000

Solution steps

(9 \cdot 1 0^{- 12}) (6.02214 \cdot 1 0^{23})

Apply exponent rule:

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

= 1 0^{23} \cdot 9 \cdot 6.02214 \cdot \frac{1}{1 0 ^{12}}

Multiply fractions:

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

= 6.02214 \cdot \frac{1 0 ^{23} \cdot 1 \cdot 9}{1 0 ^{12}}

\frac{1 \cdot 9 \cdot 1 0 ^{23}}{1 0 ^{12}} = 1 0^{11} \cdot 9

= 1 0^{11} \cdot 9 \cdot 6.02214

Multiply the numbers:

6.02214 \cdot 9 = 54.19926

= 1 0^{11} \cdot 54.19926

Convert element to a decimal form

1 0^{11} = 100000000000

= 100000000000 \cdot 54.19926

Multiply the numbers:

54.19926 \cdot 100000000000 = 5419926000000

= 5419926000000

2 \cdot e^{- 3 \cdot 2}

(- 3 e^{6 t})^{- \frac{1}{2}}

\frac{1}{1.9} e^{- 0.6 t}

x^{2} + 1 \cdot x^{2} + 25

e^{- 8 x} x e^{4 x} \frac{e ^{4 x}}{25 + x ^{2}}

What is (9*10^{-12})(6.02214*10^{23}) ?
The solution to (9*10^{-12})(6.02214*10^{23}) is 5419926000000