What is (4.75x10^{-2})(8.13x10^4) ?

The solution to (4.75x10^{-2})(8.13x10^4) is 3861.75x^2

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simplify (4.75x10^{-2})(8.13x10^4)

simplify

(4.75 x 1 0^{- 2}) (8.13 x 1 0^{4})

3861.75 x^{2}

Solution steps

(4.75 x \cdot 1 0^{- 2}) (8.13 x \cdot 1 0^{4})

Simplify

4.75 x \cdot 1 0^{- 2} : \frac{4.75 x}{100}

= \frac{4.75 x}{100} \cdot 8.13 x \cdot 1 0^{4}

1 0^{4} = 10000

= \frac{4.75 x}{100} \cdot 8.13 x \cdot 10000

Multiply the numbers:

8.13 \cdot 10000 = 81300

= \frac{4.75 x}{100} \cdot 81300 x

= 81300 x \frac{4.75 x}{100}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{81300 x \cdot 4.75 x}{100}

Apply exponent rule:

aa = a^{2}

xx = x^{2}

= \frac{81300 x ^{2} \cdot 4.75}{100}

Divide the numbers:

\frac{81300}{100} = 813

= 813 x^{2} \cdot 4.75

Multiply the numbers:

813 \cdot 4.75 = 3861.75

= 3861.75 x^{2}

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What is (4.75x10^{-2})(8.13x10^4) ?
The solution to (4.75x10^{-2})(8.13x10^4) is 3861.75x^2