What is simplify-0.05^2*4*10^{-7}*(1000)/(0.04)*1/(0.04) ?

The solution to simplify-0.05^2*4*10^{-7}*(1000)/(0.04)*1/(0.04) is -1/1600

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simplify-0.05^2410^{-7}(1000)/(0.04)1/(0.04)

simplify

- 0.0 5^{2} \cdot 4 \cdot 1 0^{- 7} \cdot \frac{1000}{0.04} \cdot \frac{1}{0.04}

- \frac{1}{1600}

Decimal Notation

- 0.000625

Solution steps

- 0.0 5^{2} \cdot 4 \cdot 1 0^{- 7} \cdot \frac{1000}{0.04} \cdot \frac{1}{0.04}

0.0 5^{2} = 0.0025

= - 0.0025 \cdot 4 \cdot 1 0^{- 7} \cdot \frac{1000}{0.04} \cdot \frac{1}{0.04}

Apply exponent rule:

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

1 0^{- 7} = \frac{1}{1 0 ^{7}}

= - 0.0025 \cdot 4 \cdot \frac{1}{1 0 ^{7}} \cdot \frac{1000}{0.04} \cdot \frac{1}{0.04}

1 0^{7} = 10000000

= - 0.0025 \cdot 4 \cdot \frac{1}{10000000} \cdot \frac{1000}{0.04} \cdot \frac{1}{0.04}

- 0.0025 \cdot 4 \cdot \frac{1}{10000000} \cdot \frac{1000}{0.04} \cdot \frac{1}{0.04} = - \frac{1}{1600}

= - \frac{1}{1600}

e^{- a t} \cdot sin (wt) \cdot u (t - 1)

e^{- 3 x} \frac{1}{s ( s + 1 )}

e^{- l n (- c)}

(x^{(2)} + 1^{(2)})^{(- 2)} d x

(x^{2} + 4)^{- 1}

What is simplify-0.05^2*4*10^{-7}*(1000)/(0.04)*1/(0.04) ?
The solution to simplify-0.05^2*4*10^{-7}*(1000)/(0.04)*1/(0.04) is -1/1600