What is (1.9x10^{-5})(9.02x10^5) ?

The solution to (1.9x10^{-5})(9.02x10^5) is 17.138x^2

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simplify (1.9x10^{-5})(9.02x10^5)

simplify

(1.9 x 1 0^{- 5}) (9.02 x 1 0^{5})

17.138 x^{2}

Solution steps

(1.9 x \cdot 1 0^{- 5}) (9.02 x \cdot 1 0^{5})

Simplify

1.9 x \cdot 1 0^{- 5} : \frac{1.9 x}{100000}

= \frac{1.9 x}{100000} \cdot 9.02 x \cdot 1 0^{5}

Apply the fraction rule:

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

= \frac{1.9 x \cdot 9.02 x \cdot 1 0 ^{5}}{100000}

Apply exponent rule:

aa = a^{2}

xx = x^{2}

= \frac{1.9 x ^{2} \cdot 9.02 \cdot 1 0 ^{5}}{100000}

Cancel

\frac{1.9 x ^{2} \cdot 9.02 \cdot 1 0 ^{5}}{100000} : 1.9 x^{2} \cdot 9.02

= 1.9 x^{2} \cdot 9.02

Multiply the numbers:

1.9 \cdot 9.02 = 17.138

= 17.138 x^{2}

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What is (1.9x10^{-5})(9.02x10^5) ?
The solution to (1.9x10^{-5})(9.02x10^5) is 17.138x^2