What is 6.023*10^{23}(6.626*10^{-34})(3*10^8) ?

The solution to 6.023*10^{23}(6.626*10^{-34})(3*10^8) is 0.119725194

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simplify 6.02310^{23}(6.62610^{-34})(3*10^8)

simplify

6.023 \cdot 1 0^{23} (6.626 \cdot 1 0^{- 34}) (3 \cdot 1 0^{8})

0.119725194

Solution steps

6.023 \cdot 1 0^{23} (6.626 \cdot 1 0^{- 34}) (3 \cdot 1 0^{8})

Apply exponent rule:

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

1 0^{23} \cdot 1 0^{- 34} \cdot 1 0^{8} = 1 0^{23 - 34 + 8}

= 6.023 \cdot 6.626 \cdot 3 \cdot 1 0^{23 - 34 + 8}

Add/Subtract the numbers:

23 - 34 + 8 = - 3

= 6.023 \cdot 6.626 \cdot 3 \cdot 1 0^{- 3}

Apply exponent rule:

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

1 0^{- 3} = \frac{1}{1 0 ^{3}}

= 3 \cdot 6.023 \cdot 6.626 \cdot \frac{1}{1 0 ^{3}}

Multiply fractions:

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

= 6.023 \cdot 6.626 \cdot \frac{1 \cdot 3}{1 0 ^{3}}

\frac{1 \cdot 3}{1 0 ^{3}} = \frac{3}{1000}

= 6.023 \cdot 6.626 \cdot \frac{3}{1000}

Multiply the numbers:

6.023 \cdot 6.626 = 39.908398

= 39.908398 \cdot \frac{3}{1000}

Multiply fractions:

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

= \frac{3 \cdot 39.908398}{1000}

Multiply the numbers:

3 \cdot 39.908398 = 119.725194

= \frac{119.725194}{1000}

Divide the numbers:

\frac{119.725194}{1000} = 0.119725194

= 0.119725194

(\frac{1}{10} mn) (\frac{4}{9} mn) (\frac{9}{4} m n^{3})

2 w^{2} (4 w h) (2 w h)

2.11882 x 1 0^{- 27}

5.6 (1 0^{- 10})

What is 6.023*10^{23}(6.626*10^{-34})(3*10^8) ?
The solution to 6.023*10^{23}(6.626*10^{-34})(3*10^8) is 0.119725194