What is 40*10^{-3}*(1000)/(1.3*10^{-3)} ?

The solution to 40*10^{-3}*(1000)/(1.3*10^{-3)} is 30769.23076…

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simplify 4010^{-3}(1000)/(1.3*10^{-3)}

simplify

40 \cdot 1 0^{- 3} \cdot \frac{1000}{1.3 \cdot 1 0 ^{- 3}}

30769.23076 \dots

Solution steps

40 \cdot 1 0^{- 3} \cdot \frac{1000}{1.3 \cdot 1 0 ^{- 3}}

Apply exponent rule:

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

= 40 \cdot \frac{1}{1 0 ^{3}} \cdot \frac{1000}{1 0 ^{- 3} \cdot 1.3}

\frac{1000}{1.3 \cdot 1 0 ^{- 3}} = \frac{2 ^{6} \cdot 5 ^{6}}{1.3}

= 40 \cdot \frac{1}{1 0 ^{3}} \cdot \frac{2 ^{6} \cdot 5 ^{6}}{1.3}

Multiply fractions:

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

= \frac{1 \cdot 2 ^{6} \cdot 5 ^{6} \cdot 40}{1 0 ^{3} \cdot 1.3}

Multiply the numbers:

1 \cdot 40 = 40

= \frac{2 ^{6} \cdot 5 ^{6} \cdot 40}{1 0 ^{3} \cdot 1.3}

Factor

1 0^{3} : 2^{3} \cdot 5^{3}

Factor

40 : 2^{3} \cdot 5

= \frac{2 ^{6} \cdot 5 ^{6} \cdot 2 ^{3} \cdot 5}{2 ^{3} \cdot 5 ^{3} \cdot 1.3}

2^{3} \cdot 5 \cdot 2^{6} \cdot 5^{6} = 2^{9} \cdot 5^{7}

= \frac{2 ^{9} \cdot 5 ^{7}}{2 ^{3} \cdot 5 ^{3} \cdot 1.3}

Cancel

\frac{2 ^{9} \cdot 5 ^{7}}{2 ^{3} \cdot 5 ^{3} \cdot 1.3} : \frac{2 ^{6} \cdot 5 ^{4}}{1.3}

= \frac{2 ^{6} \cdot 5 ^{4}}{1.3}

2^{6} \cdot 5^{4} = 40000

= \frac{40000}{1.3}

Divide the numbers:

\frac{40000}{1.3} = 30769.23076 \dots

= 30769.23076 \dots

\frac{( n + 1 ) ^{4}}{n ^{4}}

(x - 2)^{2} (x - 4)^{2}

(13)^{5}

What is 40*10^{-3}*(1000)/(1.3*10^{-3)} ?
The solution to 40*10^{-3}*(1000)/(1.3*10^{-3)} is 30769.23076…