What is (3.1416)2.01*10^{-5} ?

The solution to (3.1416)2.01*10^{-5} is 0.00006…

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simplify (3.1416)2.01*10^{-5}

simplify

(3.1416) 2.01 \cdot 1 0^{- 5}

0.00006 \dots

Solution steps

(3.1416) \cdot 2.01 \cdot 1 0^{- 5}

Apply rule:

(a) = a

(3.1416) = 3.1416

= 3.1416 \cdot 2.01 \cdot 1 0^{- 5}

Multiply the numbers:

3.1416 \cdot 2.01 = 6.314616

= 6.314616 \cdot 1 0^{- 5}

= 1 0^{- 5} \cdot 6.314616

Apply exponent rule:

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

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

= \frac{1}{1 0 ^{5}} \cdot 6.314616

1 0^{5} = 100000

= \frac{1}{100000} \cdot 6.314616

\frac{1}{100000} \cdot 6.314616 = \frac{6.314616}{100000}

= \frac{6.314616}{100000}

Divide the numbers:

\frac{6.314616}{100000} = 0.00006 \dots

= 0.00006 \dots

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