Evaluate -4/((38*10^-6)(-100))

$\frac{- 4}{(38 \cdot 10^{- 6}) (- 100)}$

Step 1

Multiply $38$ by $- 100$ .

$\frac{- 4}{- 3800 \cdot 10^{- 6}}$

Step 2

Divide using scientific notation.

Group coefficients together and exponents together to divide numbers in scientific notation.

$(\frac{- 4}{- 3800}) (\frac{1}{10^{- 6}})$

Divide $- 4$ by $- 3800$ .

$0.00105263 \frac{1}{10^{- 6}}$

Move $10^{- 6}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$0.00105263 \cdot 10^{6}$

Step 3

Move the decimal point in $0.00105263$ to the right by $3$ places and decrease the power of $10^{6}$ by $3$ .

$1.05263157 \cdot 10^{3}$

Step 4

The result can be shown in multiple forms.

Scientific Notation:

$1.05263157 \cdot 10^{3}$

Expanded Form:

$1052.63157894$