Evaluate Using Scientific Notation (1.210^-3)(4*10^5)

$(1.2 \cdot 10^{- 3}) \cdot (4 \cdot 10^{5})$

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

$(1.2 \cdot 4) (10^{- 3} \cdot 10^{5})$

Multiply $1.2$ by $4$ .

$4.8 (10^{- 3} \cdot 10^{5})$

Multiply $10^{- 3}$ by $10^{5}$ by adding the exponents.

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

$4.8 \cdot 10^{- 3 + 5}$

Add $- 3$ and $5$ .

$4.8 \cdot 10^{2}$

Convert $4.8 \cdot 10^{2}$ from scientific notation.

$480$

Evaluate Using Scientific Notation (1.2*10^-3)*(4*10^5)