What is (4x10^{-6})(2.5x10^{-4}) ?

The solution to (4x10^{-6})(2.5x10^{-4}) is (x^2)/(1000000000)

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simplify (4x10^{-6})(2.5x10^{-4})

simplify

(4 x 1 0^{- 6}) (2.5 x 1 0^{- 4})

\frac{x ^{2}}{1000000000}

Solution steps

(4 x \cdot 1 0^{- 6}) (2.5 x \cdot 1 0^{- 4})

Simplify

4 x \cdot 1 0^{- 6} : \frac{x}{250000}

= \frac{x}{250000} \cdot 2.5 x \cdot 1 0^{- 4}

1 0^{- 4} = \frac{1}{10000}

= \frac{x}{250000} \cdot 2.5 x \frac{1}{10000}

2.5 = \frac{5}{2}

= \frac{x}{250000} \cdot \frac{5}{2} x \frac{1}{10000}

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 5 x \cdot 1}{250000 \cdot 2 \cdot 10000}

Simplify

x \cdot 5 x \cdot 1 : x^{2} \cdot 5

= \frac{x ^{2} \cdot 5}{250000 \cdot 2 \cdot 10000}

Factor the number:

250000 = 5 \cdot 50000

= \frac{x ^{2} \cdot 5}{5 \cdot 50000 \cdot 2 \cdot 10000}

Cancel the common factor:

5

= \frac{x ^{2}}{50000 \cdot 2 \cdot 10000}

Multiply the numbers:

50000 \cdot 2 \cdot 10000 = 1000000000

= \frac{x ^{2}}{1000000000}

- e^{x} e^{- x} 2 x (x + 1)^{2}

(2 a)^{2}

(2 x y) (x^{2} y^{3}) (2 y^{4})

- 2 x (0.5 x^{- 0.5})

1.8 2^{5} \cdot 16

What is (4x10^{-6})(2.5x10^{-4}) ?
The solution to (4x10^{-6})(2.5x10^{-4}) is (x^2)/(1000000000)