What is (1.5x10^{-6})x(4x10^6) ?

The solution to (1.5x10^{-6})x(4x10^6) is 6x^3

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simplify (1.5x10^{-6})x(4x10^6)

simplify

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

6 x^{3}

Solution steps

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

Simplify

1.5 x \cdot 1 0^{- 6} : \frac{1.5 x}{1000000}

= \frac{1.5 x}{1000000} x \cdot 4 x \cdot 1 0^{6}

Apply exponent rule:

aa = a^{2}

xx = x^{2}

= \frac{1.5 x}{1000000} x^{2} \cdot 4 \cdot 1 0^{6}

= 1 0^{6} \cdot 4 x^{2} \frac{1.5 x}{1000000}

Apply the fraction rule:

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

= \frac{1 0 ^{6} \cdot 4 x ^{2} \cdot 1.5 x}{1000000}

Cancel

\frac{1 0 ^{6} \cdot 4 x ^{2} \cdot 1.5 x}{1000000} : 2^{2} x^{2} \cdot 1.5 x

= 2^{2} x^{2} \cdot 1.5 x

Simplify

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

= 2^{2} x^{3} \cdot 1.5

= 2^{2} \cdot 1.5 x^{3}

2^{2} = 4

= 4 \cdot 1.5 x^{3}

Multiply the numbers:

4 \cdot 1.5 = 6

= 6 x^{3}

2 (2 x^{\frac{3}{2}})

4 t^{3} e^{- 2 t}

2 y x