What is 10*0.41*10^{-5}*0.46 ?

The solution to 10*0.41*10^{-5}*0.46 is 0.00001886

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simplify 100.4110^{-5}*0.46

simplify

10 \cdot 0.41 \cdot 1 0^{- 5} \cdot 0.46

0.00001886

Solution steps

10 \cdot 0.41 \cdot 1 0^{- 5} \cdot 0.46

Multiply the numbers:

10 \cdot 0.41 \cdot 0.46 = 1.886

= 1.886 \cdot 1 0^{- 5}

= 1 0^{- 5} \cdot 1.886

Apply exponent rule:

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

1 0^{- 5} = \frac{1}{1 0 ^{5}}

= \frac{1}{1 0 ^{5}} \cdot 1.886

1 0^{5} = 100000

= \frac{1}{100000} \cdot 1.886

\frac{1}{100000} \cdot 1.886 = \frac{1.886}{100000}

= \frac{1.886}{100000}

Divide the numbers:

\frac{1.886}{100000} = 0.00001886

= 0.00001886

(1.5 \cdot 1 0^{5}) (3.18 \cdot 1 0^{11})

3^{x} \cdot 4^{x}

What is 10*0.41*10^{-5}*0.46 ?
The solution to 10*0.41*10^{-5}*0.46 is 0.00001886