What is 6.62*10^{-34}*6 ?

The solution to 6.62*10^{-34}*6 is (993)/(25*10^{34)}

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simplify 6.6210^{-34}6

simplify

6.62 \cdot 1 0^{- 34} \cdot 6

\frac{993}{25 \cdot 1 0 ^{34}}

Decimal Notation

3.972 E - 33

Solution steps

6.62 \cdot 1 0^{- 34} \cdot 6

Multiply the numbers:

6.62 \cdot 6 = 39.72

= 39.72 \cdot 1 0^{- 34}

= 1 0^{- 34} \cdot 39.72

Apply exponent rule:

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

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

= \frac{1}{1 0 ^{34}} \cdot 39.72

\frac{1}{1 0 ^{34}} \cdot 39.72 = \frac{39.72}{1 0 ^{34}}

= \frac{39.72}{1 0 ^{34}}

\frac{39.72}{1 0 ^{34}} = \frac{3972}{100 \cdot 1 0 ^{34}}

= \frac{3972}{100 \cdot 1 0 ^{34}}

Factor the number:

3972 = 4 \cdot 993

= \frac{4 \cdot 993}{100 \cdot 1 0 ^{34}}

Factor the number:

100 = 4 \cdot 25

= \frac{4 \cdot 993}{4 \cdot 25 \cdot 1 0 ^{34}}

Cancel the common factor:

4

= \frac{993}{25 \cdot 1 0 ^{34}}

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