What is simplify-4.5*10^{-10}*415 ?

The solution to simplify-4.5*10^{-10}*415 is -747/4000000000

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simplify-4.510^{-10}415

simplify

- 4.5 \cdot 1 0^{- 10} \cdot 415

- \frac{747}{4000000000}

Decimal Notation

- 1.8675 E - 7

Solution steps

- 4.5 \cdot 1 0^{- 10} \cdot 415

Multiply the numbers:

- 4.5 \cdot 415 = - 1867.5

= - 1867.5 \cdot 1 0^{- 10}

= - 1 0^{- 10} \cdot 1867.5

Apply exponent rule:

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

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

= - \frac{1}{1 0 ^{10}} \cdot 1867.5

- \frac{1}{1 0 ^{10}} \cdot 1867.5 = - \frac{1867.5}{1 0 ^{10}}

= - \frac{1867.5}{1 0 ^{10}}

\frac{1867.5}{1 0 ^{10}} = \frac{18675}{10 \cdot 1 0 ^{10}}

= - \frac{18675}{10 \cdot 1 0 ^{10}}

10 \cdot 1 0^{10} = 1 0^{11}

= - \frac{18675}{1 0 ^{11}}

Factor

18675 : 5^{2} \cdot 747

= - \frac{5 ^{2} \cdot 747}{1 0 ^{11}}

Factor

1 0^{11} : 5^{11} \cdot 2^{11}

= - \frac{5 ^{2} \cdot 747}{5 ^{11} \cdot 2 ^{11}}

\frac{5 ^{2}}{5 ^{11}} = \frac{1}{5 ^{9}}

= - \frac{747}{5 ^{9} \cdot 2 ^{11}}

5^{9} \cdot 2^{11} = 4000000000

= - \frac{747}{4000000000}

7.5 x 1 0^{- 2}

36.5 \cdot 1.602 \cdot 1 0^{- 19}

(π + π)^{2}

(x + Δ x)^{2} \cdot 4 (x + Δ x)

x^{2 n} \cdot e^{- x^{2}}

What is simplify-4.5*10^{-10}*415 ?
The solution to simplify-4.5*10^{-10}*415 is -747/4000000000