What is expand 4*10^{-6} ?

The solution to expand 4*10^{-6} is 1/250000

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expand 4*10^{-6}

expand

4 \cdot 1 0^{- 6}

\frac{1}{250000}

Solution steps

4 \cdot 1 0^{- 6}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= 4 \cdot \frac{1}{1 0 ^{6}}

Multiply fractions:

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

= \frac{1 \cdot 4}{1 0 ^{6}}

Multiply the numbers:

1 \cdot 4 = 4

= \frac{4}{1 0 ^{6}}

Factor

4 : 2^{2}

Factor

1 0^{6} : 2^{6} \cdot 5^{6}

= \frac{2 ^{2}}{2 ^{6} \cdot 5 ^{6}}

Cancel

\frac{2 ^{2}}{2 ^{6} \cdot 5 ^{6}} : \frac{1}{5 ^{6} \cdot 2 ^{4}}

= \frac{1}{5 ^{6} \cdot 2 ^{4}}

5^{6} \cdot 2^{4} = 250000

= \frac{1}{250000}

3 x^{3} y^{3} (y + 2 z)

\frac{e ^{- x}}{e ^{y}}

(10 x^{4}) (10 x^{3})

e^{- l n (4 x^{4} - 3)}