What is (5.4x10^{-4})(9x10^9) ?

The solution to (5.4x10^{-4})(9x10^9) is 10^5*48.6x^2

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simplify (5.4x10^{-4})(9x10^9)

simplify

(5.4 x 1 0^{- 4}) (9 x 1 0^{9})

1 0^{5} \cdot 48.6 x^{2}

Solution steps

(5.4 x \cdot 1 0^{- 4}) (9 x \cdot 1 0^{9})

Simplify

5.4 x \cdot 1 0^{- 4} : \frac{5.4 x}{10000}

= \frac{5.4 x}{10000} \cdot 9 x \cdot 1 0^{9}

Apply the fraction rule:

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

= \frac{5.4 x \cdot 9 x \cdot 1 0 ^{9}}{10000}

Apply exponent rule:

aa = a^{2}

xx = x^{2}

= \frac{5.4 x ^{2} \cdot 9 \cdot 1 0 ^{9}}{10000}

Cancel

\frac{5.4 x ^{2} \cdot 9 \cdot 1 0 ^{9}}{10000} : 5.4 x^{2} \cdot 9 \cdot 1 0^{5}

= 5.4 x^{2} \cdot 9 \cdot 1 0^{5}

Multiply the numbers:

5.4 \cdot 9 = 48.6

= 48.6 x^{2} \cdot 1 0^{5}

= 1 0^{5} \cdot 48.6 x^{2}

e^{- 6} e^{17}

8.73 x 1 0^{- 8}

2.7 (101.53)^{- 0.265}

100000 \cdot e^{- 0.16 \cdot 1.5}

19.3 \cdot 330 \cdot 1 0^{- 3}

What is (5.4x10^{-4})(9x10^9) ?
The solution to (5.4x10^{-4})(9x10^9) is 10^5*48.6x^2