What is (2x10^{-4})(8.1x10^{-1}) ?

The solution to (2x10^{-4})(8.1x10^{-1}) is (81x^2)/(500000)

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simplify (2x10^{-4})(8.1x10^{-1})

simplify

(2 x 1 0^{- 4}) (8.1 x 1 0^{- 1})

\frac{81 x ^{2}}{500000}

Solution steps

(2 x \cdot 1 0^{- 4}) (8.1 x \cdot 1 0^{- 1})

Simplify

2 x \cdot 1 0^{- 4} : \frac{x}{5000}

= \frac{x}{5000} \cdot 8.1 x \cdot 1 0^{- 1}

Apply exponent rule:

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

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

= \frac{x}{5000} \cdot 8.1 x \frac{1}{10}

8.1 = \frac{81}{10}

= \frac{x}{5000} \cdot \frac{81}{10} x \frac{1}{10}

Apply the fraction rule:

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

= \frac{x \cdot 81 x \cdot 1}{5000 \cdot 10 \cdot 10}

Simplify

x \cdot 81 x \cdot 1 : x^{2} \cdot 81

= \frac{x ^{2} \cdot 81}{5000 \cdot 10 \cdot 10}

Multiply the numbers:

5000 \cdot 10 \cdot 10 = 500000

= \frac{x ^{2} \cdot 81}{500000}

= \frac{81 x ^{2}}{500000}

4 π (0.01)^{2} (0.01)

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e^{- (0.5 + 0.5)}

What is (2x10^{-4})(8.1x10^{-1}) ?
The solution to (2x10^{-4})(8.1x10^{-1}) is (81x^2)/(500000)