What is simplify-4(1.58*10^{-30})(4105) ?

The solution to simplify-4(1.58*10^{-30})(4105) is -(64859)/(5^{31)*536870912}

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simplify-4(1.58*10^{-30})(4105)

simplify

- 4 (1.58 \cdot 1 0^{- 30}) (4105)

- \frac{64859}{5 ^{31} \cdot 536870912}

Decimal Notation

0

Solution steps

- 4 (1.58 \cdot 1 0^{- 30}) (4105)

Apply rule:

(a) = a

(4105) = 4105

= - 4 \cdot 1.58 \cdot 1 0^{- 30} \cdot 4105

Multiply the numbers:

- 4 \cdot 1.58 \cdot 4105 = - 25943.6

= - 25943.6 \cdot 1 0^{- 30}

= - 1 0^{- 30} \cdot 25943.6

Apply exponent rule:

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

1 0^{- 30} = \frac{1}{1 0 ^{30}}

= - \frac{1}{1 0 ^{30}} \cdot 25943.6

- \frac{1}{1 0 ^{30}} \cdot 25943.6 = - \frac{25943.6}{1 0 ^{30}}

= - \frac{25943.6}{1 0 ^{30}}

\frac{25943.6}{1 0 ^{30}} = \frac{259436}{10 \cdot 1 0 ^{30}}

= - \frac{259436}{10 \cdot 1 0 ^{30}}

10 \cdot 1 0^{30} = 1 0^{31}

= - \frac{259436}{1 0 ^{31}}

Factor

259436 : 2^{2} \cdot 64859

= - \frac{2 ^{2} \cdot 64859}{1 0 ^{31}}

Factor

1 0^{31} : 2^{31} \cdot 5^{31}

= - \frac{2 ^{2} \cdot 64859}{2 ^{31} \cdot 5 ^{31}}

\frac{2 ^{2}}{2 ^{31}} = \frac{1}{2 ^{29}}

= - \frac{64859}{2 ^{29} \cdot 5 ^{31}}

2^{29} = 536870912

= - \frac{64859}{5 ^{31} \cdot 536870912}

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What is simplify-4(1.58*10^{-30})(4105) ?
The solution to simplify-4(1.58*10^{-30})(4105) is -(64859)/(5^{31)*536870912}