Simplify (3.210^-2)/(810^3)

$\frac{3.2 \cdot 10^{- 2}}{8 \cdot 10^{3}}$

Divide using scientific notation.

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

$(\frac{3.2}{8}) (\frac{10^{- 2}}{10^{3}})$

Divide $3.2$ by $8$ .

$0.4 \frac{10^{- 2}}{10^{3}}$

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

$0.4 \cdot 10^{- 2 + 3 \cdot - 1}$

Multiply $3$ by $- 1$ .

$0.4 \cdot 10^{- 2 - 3}$

Subtract $3$ from $- 2$ .

$0.4 \cdot 10^{- 5}$

Write $0.4 \cdot 10^{- 5}$ in proper scientific notation.

$4 \cdot 10^{- 6}$

Simplify (3.2*10^-2)/(8*10^3)