What is (6.02*10^{23})(4.1*10^{-16}) ?

The solution to (6.02*10^{23})(4.1*10^{-16}) is 246820000

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simplify (6.0210^{23})(4.110^{-16})

simplify

(6.02 \cdot 1 0^{23}) (4.1 \cdot 1 0^{- 16})

246820000

Solution steps

(6.02 \cdot 1 0^{23}) (4.1 \cdot 1 0^{- 16})

Apply exponent rule:

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

1 0^{23} \cdot 1 0^{- 16} = 1 0^{23 - 16}

= 6.02 \cdot 4.1 \cdot 1 0^{23 - 16}

Subtract the numbers:

23 - 16 = 7

= 6.02 \cdot 4.1 \cdot 1 0^{7}

Multiply the numbers:

6.02 \cdot 4.1 = 24.682

= 1 0^{7} \cdot 24.682

1 0^{7} = 10000000

= 10000000 \cdot 24.682

Multiply the numbers:

24.682 \cdot 10000000 = 246820000

= 246820000

2 e^{x} \cdot e^{2 x}

\frac{1}{1 + e ^{x}} (e^{- x})

(1 - 1)^{2} e^{- 1}

2.74 \cdot 1 0^{- 3}

8374

What is (6.02*10^{23})(4.1*10^{-16}) ?
The solution to (6.02*10^{23})(4.1*10^{-16}) is 246820000