What is 6.626*10^{-34}*(10^8)/(4*10^{-11)} ?

The solution to 6.626*10^{-34}*(10^8)/(4*10^{-11)} is 5^{19}*(3313)/(5^{34)*65536000}

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simplify 6.62610^{-34}(10^8)/(4*10^{-11)}

simplify

6.626 \cdot 1 0^{- 34} \cdot \frac{1 0 ^{8}}{4 \cdot 1 0 ^{- 11}}

5^{19} \cdot \frac{3313}{5 ^{34} \cdot 65536000}

Decimal Notation

0

Solution steps

6.626 \cdot 1 0^{- 34} \cdot \frac{1 0 ^{8}}{4 \cdot 1 0 ^{- 11}}

Apply exponent rule:

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

1 0^{- 34} = \frac{1}{1 0 ^{34}}

= 6.626 \cdot \frac{1}{1 0 ^{34}} \cdot \frac{1 0 ^{8}}{4 \cdot 1 0 ^{- 11}}

Cancel

\frac{1 0 ^{8}}{4 \cdot 1 0 ^{- 11}} : 5^{19} \cdot 131072

= 6.626 \cdot \frac{1}{1 0 ^{34}} \cdot 5^{19} \cdot 131072

6.626 \cdot \frac{1}{1 0 ^{34}} \cdot 5^{19} \cdot 131072 = \frac{868483.072}{1 0 ^{34}} \cdot 5^{19}

= \frac{868483.072}{1 0 ^{34}} \cdot 5^{19}

\frac{868483.072}{1 0 ^{34}} = \frac{868483072}{1000 \cdot 1 0 ^{34}}

= \frac{868483072}{1000 \cdot 1 0 ^{34}} \cdot 5^{19}

Cancel

\frac{868483072}{1000 \cdot 1 0 ^{34}} : \frac{3313}{5 ^{34} \cdot 65536000}

= \frac{3313}{5 ^{34} \cdot 65536000} \cdot 5^{19}

= 5^{19} \cdot \frac{3313}{5 ^{34} \cdot 65536000}

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What is 6.626*10^{-34}*(10^8)/(4*10^{-11)} ?
The solution to 6.626*10^{-34}*(10^8)/(4*10^{-11)} is 5^{19}*(3313)/(5^{34)*65536000}