What is 1/(1.5)400*10^{-6} ?

The solution to 1/(1.5)400*10^{-6} is 0.00026…

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simplify 1/(1.5)400*10^{-6}

simplify

\frac{1}{1.5} 400 \cdot 1 0^{- 6}

0.00026 \dots

Solution steps

\frac{1}{1.5} \cdot 400 \cdot 1 0^{- 6}

Apply exponent rule:

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

= 400 \cdot \frac{1}{1.5} \cdot \frac{1}{1 0 ^{6}}

Multiply fractions:

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

= \frac{1 \cdot 1 \cdot 400}{1.5 \cdot 1 0 ^{6}}

Multiply the numbers:

1 \cdot 1 \cdot 400 = 400

= \frac{400}{1 0 ^{6} \cdot 1.5}

Factor

400 : 2^{4} \cdot 5^{2}

Factor

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

= \frac{2 ^{4} \cdot 5 ^{2}}{2 ^{6} \cdot 5 ^{6} \cdot 1.5}

Cancel

\frac{2 ^{4} \cdot 5 ^{2}}{1.5 \cdot 2 ^{6} \cdot 5 ^{6}} : \frac{1}{5 ^{4} \cdot 2 ^{2} \cdot 1.5}

= \frac{1}{5 ^{4} \cdot 2 ^{2} \cdot 1.5}

5^{4} \cdot 2^{2} \cdot 1.5 = 3750

= \frac{1}{3750}

Convert element to a decimal form

\frac{1}{3750} = 0.00026 \dots

= 0.00026 \dots

1.24 \cdot 1 0^{- 6} \cdot 50

(8 e^{(- 500)}) \cdot (3.2)

(0) e^{(- 0)}

2 \cdot e^{- \frac{π}{3}}

1995 \cdot (\frac{1000}{418.8})^{- 1.6}