What is (5.1x10^{-8})(3x10^{-4}) ?

The solution to (5.1x10^{-8})(3x10^{-4}) is (15.3x^2)/(1000000000000)

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simplify (5.1x10^{-8})(3x10^{-4})

simplify

(5.1 x 1 0^{- 8}) (3 x 1 0^{- 4})

\frac{15.3 x ^{2}}{1000000000000}

Solution steps

(5.1 x \cdot 1 0^{- 8}) (3 x \cdot 1 0^{- 4})

Simplify

5.1 x \cdot 1 0^{- 8} : \frac{5.1 x}{100000000}

= \frac{5.1 x}{100000000} \cdot 3 x \cdot 1 0^{- 4}

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

= \frac{5.1 x}{100000000} \cdot 3 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{5.1 x \cdot 3 x \cdot 1}{100000000 \cdot 10000}

Simplify

5.1 x \cdot 3 x \cdot 1 : 15.3 x^{2}

= \frac{15.3 x ^{2}}{100000000 \cdot 10000}

Multiply the numbers:

100000000 \cdot 10000 = 1000000000000

= \frac{15.3 x ^{2}}{1000000000000}

e^{2 x} \cdot 3 e^{x}

2 e^{- 63}

(3 x^{3} y^{2}) (10 x^{2} y^{3})

7 e^{- 93 \cdot 36}

9.32 \cdot 1 0^{- 6}

What is (5.1x10^{-8})(3x10^{-4}) ?
The solution to (5.1x10^{-8})(3x10^{-4}) is (15.3x^2)/(1000000000000)