What is (3x10^5)x(1.8x10^{-3}) ?

The solution to (3x10^5)x(1.8x10^{-3}) is 540x^3

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simplify (3x10^5)x(1.8x10^{-3})

simplify

(3 x 1 0^{5}) x (1.8 x 1 0^{- 3})

540 x^{3}

Solution steps

(3 x \cdot 1 0^{5}) x (1.8 x \cdot 1 0^{- 3})

Simplify

1.8 x \cdot 1 0^{- 3} : \frac{1.8 x}{1000}

= 3 x \cdot 1 0^{5} x \frac{1.8 x}{1000}

Apply exponent rule:

aa = a^{2}

xx = x^{2}

= 3 x^{2} \cdot 1 0^{5} \cdot \frac{1.8 x}{1000}

= 1 0^{5} \cdot 3 x^{2} \frac{1.8 x}{1000}

Apply the fraction rule:

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

= \frac{1 0 ^{5} \cdot 3 x ^{2} \cdot 1.8 x}{1000}

Cancel

\frac{1 0 ^{5} \cdot 3 x ^{2} \cdot 1.8 x}{1000} : 1 0^{2} \cdot 3 x^{2} \cdot 1.8 x

= 1 0^{2} \cdot 3 x^{2} \cdot 1.8 x

Multiply the numbers:

3 \cdot 1.8 = 5.4

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

Simplify

x^{2} x : x^{3}

= 1 0^{2} \cdot 5.4 x^{3}

1 0^{2} = 100

= 100 \cdot 5.4 x^{3}

Multiply the numbers:

100 \cdot 5.4 = 540

= 540 x^{3}

(1.8 \cdot 1 0^{1}) (7 \cdot 1 0^{5})

(e^{- t}) (e^{t})

- 60.656 \cdot e^{- 0.0892 \cdot 5}

e^{- 3 t} sin (t)

(s + 1)^{2} (s + 2)^{2}

What is (3x10^5)x(1.8x10^{-3}) ?
The solution to (3x10^5)x(1.8x10^{-3}) is 540x^3