Evaluate Using Scientific Notation (8.210^-3)(2.0*10^2)

$(8.2 \cdot 10^{- 3}) \cdot (2 \cdot 10^{2})$

Step 1

Multiply $8.2$ by $2$ .

$16.4 (10^{- 3} \cdot 10^{2})$

Step 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.

$16.4 \cdot 10^{- 3 + 2}$

Add $- 3$ and $2$ .

$16.4 \cdot 10^{- 1}$

Step 3

Move the decimal point in $16.4$ to the left by $1$ place and increase the power of $10^{- 1}$ by $1$ .

$1.64 \cdot 10^{0}$

Step 4

Convert $1.64 \cdot 10^{0}$ from scientific notation.

$1.64$

Evaluate Using Scientific Notation (8.2*10^-3)*(2.0*10^2)