Evaluate Using Scientific Notation 0.175/(25001.410^-8)

$\frac{0.175}{2500 \cdot 1.4 \cdot 10^{- 8}}$

Step 1

Multiply $2500$ by $1.4$ .

$\frac{0.175}{3500 \cdot 10^{- 8}}$

Step 2

Divide using scientific notation.

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

$(\frac{0.175}{3500}) (\frac{1}{10^{- 8}})$

Divide $0.175$ by $3500$ .

$0.00005 \frac{1}{10^{- 8}}$

Move $10^{- 8}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$0.00005 \cdot 10^{8}$

Step 3

Move the decimal point in $0.00005$ to the right by $5$ places and decrease the power of $10^{8}$ by $5$ .

$5 \cdot 10^{3}$

Evaluate Using Scientific Notation 0.175/(2500*1.4*10^-8)