What is (3.8*10^4)*(2.7*10^{-8}) ?

The solution to (3.8*10^4)*(2.7*10^{-8}) is 513/500000

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simplify (3.810^4)(2.7*10^{-8})

simplify

(3.8 \cdot 1 0^{4}) \cdot (2.7 \cdot 1 0^{- 8})

\frac{513}{500000}

Decimal Notation

0.001026

Solution steps

(3.8 \cdot 1 0^{4}) (2.7 \cdot 1 0^{- 8})

3.8 \cdot 1 0^{4} = 38000

= 38000 \cdot 2.7 \cdot 1 0^{- 8}

Apply exponent rule:

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

1 0^{- 8} = \frac{1}{1 0 ^{8}}

= 38000 \cdot 2.7 \cdot \frac{1}{1 0 ^{8}}

1 0^{8} = 100000000

= 38000 \cdot 2.7 \cdot \frac{1}{100000000}

Multiply the numbers:

38000 \cdot 2.7 = 102600

= 102600 \cdot \frac{1}{100000000}

= \frac{1}{100000000} \cdot 102600

\frac{1}{100000000} \cdot 102600 = \frac{513}{500000}

= \frac{513}{500000}

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What is (3.8*10^4)*(2.7*10^{-8}) ?
The solution to (3.8*10^4)*(2.7*10^{-8}) is 513/500000