What is (6.67*10^{-11})(0.545)(0.108) ?

The solution to (6.67*10^{-11})(0.545)(0.108) is (1962981)/(5000000*10^{11)}

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simplify (6.67*10^{-11})(0.545)(0.108)

simplify

(6.67 \cdot 1 0^{- 11}) (0.545) (0.108)

\frac{1962981}{5000000 \cdot 1 0 ^{11}}

Decimal Notation

3.92596 E - 12

Solution steps

(6.67 \cdot 1 0^{- 11}) (0.545) (0.108)

(6.67 \cdot 1 0^{- 11}) (0.545) (0.108) = (6.67 \cdot 1 0^{- 11}) \cdot 0.545 \cdot 0.108

= 6.67 \cdot 1 0^{- 11} \cdot 0.545 \cdot 0.108

Multiply the numbers:

6.67 \cdot 0.545 \cdot 0.108 = 0.3925962

= 0.3925962 \cdot 1 0^{- 11}

= 1 0^{- 11} \cdot 0.3925962

Apply exponent rule:

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

1 0^{- 11} = \frac{1}{1 0 ^{11}}

= \frac{1}{1 0 ^{11}} \cdot 0.3925962

\frac{1}{1 0 ^{11}} \cdot 0.3925962 = \frac{0.3925962}{1 0 ^{11}}

= \frac{0.3925962}{1 0 ^{11}}

\frac{0.3925962}{1 0 ^{11}} = \frac{3925962}{10000000 \cdot 1 0 ^{11}}

= \frac{3925962}{10000000 \cdot 1 0 ^{11}}

Factor the number:

3925962 = 2 \cdot 1962981

= \frac{2 \cdot 1962981}{10000000 \cdot 1 0 ^{11}}

Factor the number:

10000000 = 2 \cdot 5000000

= \frac{2 \cdot 1962981}{2 \cdot 5000000 \cdot 1 0 ^{11}}

Cancel the common factor:

2

= \frac{1962981}{5000000 \cdot 1 0 ^{11}}

1500 \cdot e^{- 2000 \cdot (\frac{1}{240} - \frac{1}{289})}

e^{- 3.2} \cdot 3. 2^{2}

10 e^{- \frac{1}{2}}

9.99 \cdot 1 0^{- 3}

What is (6.67*10^{-11})(0.545)(0.108) ?
The solution to (6.67*10^{-11})(0.545)(0.108) is (1962981)/(5000000*10^{11)}