Evaluate Using Scientific Notation (4.210^2)÷(1.510^3)

$(4.2 \cdot 10^{2}) \div (1.5 \cdot 10^{3})$

Divide using scientific notation.

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

$(\frac{4.2}{1.5}) (\frac{10^{2}}{10^{3}})$

Divide $4.2$ by $1.5$ .

$2.8 \frac{10^{2}}{10^{3}}$

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

$2.8 \cdot 10^{2 + 3 \cdot - 1}$

Multiply $3$ by $- 1$ .

$2.8 \cdot 10^{2 - 3}$

Subtract $3$ from $2$ .

$2.8 \cdot 10^{- 1}$

Convert $2.8 \cdot 10^{- 1}$ from scientific notation.

$0.28$

Evaluate Using Scientific Notation (4.2*10^2)÷(1.5*10^3)