Evaluate Using Scientific Notation (2.4010^2)/(3.010^-1)

$\frac{2.4 \cdot 10^{2}}{3 \cdot 10^{- 1}}$

Step 1

Divide using scientific notation.

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

$(\frac{2.4}{3}) (\frac{10^{2}}{10^{- 1}})$

Divide $2.4$ by $3$ .

$0.8 \frac{10^{2}}{10^{- 1}}$

Subtract the exponent from the denominator from the exponent of the numerator for the same base

$0.8 \cdot 10^{2 - - 1}$

Multiply $- 1$ by $- 1$ .

$0.8 \cdot 10^{2 + 1}$

Add $2$ and $1$ .

$0.8 \cdot 10^{3}$

Step 2

Move the decimal point in $0.8$ to the right by $1$ place and decrease the power of $10^{3}$ by $1$ .

$8 \cdot 10^{2}$

Evaluate Using Scientific Notation (2.40*10^2)/(3.0*10^-1)