What is 22*10^{-10}*41.288 ?

The solution to 22*10^{-10}*41.288 is 56771/625000000000

simplify 2210^{-10}41.288

simplify

22 \cdot 1 0^{- 10} \cdot 41.288

\frac{56771}{625000000000}

Decimal

9.08336 E - 8

Solution steps

22 \cdot 1 0^{- 10} \cdot 41.288

Multiply the numbers:

22 \cdot 41.288 = 908.336

= 908.336 \cdot 1 0^{- 10}

= 1 0^{- 10} \cdot 908.336

Apply exponent rule:

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

1 0^{- 10} = \frac{1}{1 0 ^{10}}

= \frac{1}{1 0 ^{10}} \cdot 908.336

\frac{1}{1 0 ^{10}} \cdot 908.336 = \frac{908.336}{1 0 ^{10}}

= \frac{908.336}{1 0 ^{10}}

\frac{908.336}{1 0 ^{10}} = \frac{908336}{1000 \cdot 1 0 ^{10}}

= \frac{908336}{1000 \cdot 1 0 ^{10}}

Factor the number:

908336 = 8 \cdot 113542

= \frac{8 \cdot 113542}{1000 \cdot 1 0 ^{10}}

Factor the number:

1000 = 8 \cdot 125

= \frac{8 \cdot 113542}{8 \cdot 125 \cdot 1 0 ^{10}}

Cancel the common factor:

8

= \frac{113542}{125 \cdot 1 0 ^{10}}

Factor the number:

113542 = 2 \cdot 56771

= \frac{2 \cdot 56771}{125 \cdot 1 0 ^{10}}

Factor

1 0^{10} : 2^{10} \cdot 5^{10}

= \frac{2 \cdot 56771}{125 \cdot 2 ^{10} \cdot 5 ^{10}}

\frac{2}{2 ^{10}} = \frac{1}{2 ^{9}}

= \frac{56771}{125 \cdot 2 ^{9} \cdot 5 ^{10}}

125 \cdot 2^{9} \cdot 5^{10} = 625000000000

= \frac{56771}{625000000000}

What is 22*10^{-10}*41.288 ?
The solution to 22*10^{-10}*41.288 is 56771/625000000000