Evaluate Using Scientific Notation (2.210^-3)(410^-2)

$(2.2 \cdot 10^{- 3}) (4 \cdot 10^{- 2})$

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

$(2.2 \cdot 4) (10^{- 3} \cdot 10^{- 2})$

Multiply $2.2$ by $4$ .

$8.8 (10^{- 3} \cdot 10^{- 2})$

Multiply $10^{- 3}$ by $10^{- 2}$ by adding the exponents.

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$8.8 \cdot 10^{- 3 - 2}$

Subtract $2$ from $- 3$ .

$8.8 \cdot 10^{- 5}$

Evaluate Using Scientific Notation (2.2*10^-3)(4*10^-2)