What is (4000)/(4*10^{-5)} ?

The solution to (4000)/(4*10^{-5)} is 100000000

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simplify (4000)/(4*10^{-5)}

simplify

\frac{4000}{4 \cdot 1 0 ^{- 5}}

100000000

Solution steps

\frac{4000}{4 \cdot 1 0 ^{- 5}}

Factor the number:

4000 = 4 \cdot 1000

= \frac{4 \cdot 1000}{4 \cdot 1 0 ^{- 5}}

Cancel the common factor:

4

= \frac{1000}{1 0 ^{- 5}}

Factor the number:

1000 = 1 0^{3}

= \frac{1 0 ^{3}}{1 0 ^{- 5}}

Apply exponent rule:

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

= 1 0^{3 - (- 5)}

3 - (- 5) = 8

= 1 0^{8}

1 0^{8} = 100000000

= 100000000

\frac{2 x}{x - 2} < 3

27 \leq 7 x + 6

- 8 c = 64

4 x - 5 = 2 x + 25

3 x + 6 \leq 9