What is (4.3\times 10^2)\times (4\times 10^{-3}) ?

The solution to (4.3\times 10^2)\times (4\times 10^{-3}) is 43/25

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simplify (4.3\times 10^2)\times (4\times 10^{-3})

simplify

(4.3 \cdot 1 0^{2}) \cdot (4 \cdot 1 0^{- 3})

\frac{43}{25}

Decimal Notation

1.72

Solution steps

(4.3 \cdot 1 0^{2}) (4 \cdot 1 0^{- 3})

4.3 \cdot 1 0^{2} = 430

= 430 \cdot 4 \cdot 1 0^{- 3}

Apply exponent rule:

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

1 0^{- 3} = \frac{1}{1 0 ^{3}}

= 430 \cdot 4 \cdot \frac{1}{1 0 ^{3}}

1 0^{3} = 1000

= 430 \cdot 4 \cdot \frac{1}{1000}

Multiply the numbers:

430 \cdot 4 = 1720

= 1720 \cdot \frac{1}{1000}

= \frac{1}{1000} \cdot 1720

\frac{1}{1000} \cdot 1720 = \frac{43}{25}

= \frac{43}{25}

1 0^{- 7}

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What is (4.3\times 10^2)\times (4\times 10^{-3}) ?
The solution to (4.3\times 10^2)\times (4\times 10^{-3}) is 43/25