Evaluate Using Scientific Notation (3.410^5)(1.210^-3)

$(3.4 \cdot 10^{5}) (1.2 \cdot 10^{- 3})$

Step 1

Multiply $3.4$ by $1.2$ .

$4.08 (10^{5} \cdot 10^{- 3})$

Step 2

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

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

$4.08 \cdot 10^{5 - 3}$

Subtract $3$ from $5$ .

$4.08 \cdot 10^{2}$

Evaluate Using Scientific Notation (3.4*10^5)(1.2*10^-3)