Evaluate Using Scientific Notation (4.310^2)(4.0*10^-3)

$(4.3 \cdot 10^{2}) \cdot (4 \cdot 10^{- 3})$

Step 1

Multiply $4.3$ by $4$ .

$17.2 (10^{2} \cdot 10^{- 3})$

Step 2

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

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

$17.2 \cdot 10^{2 - 3}$

Subtract $3$ from $2$ .

$17.2 \cdot 10^{- 1}$

Step 3

Move the decimal point in $17.2$ to the left by $1$ place and increase the power of $10^{- 1}$ by $1$ .

$1.72 \cdot 10^{0}$

Step 4

Convert $1.72 \cdot 10^{0}$ from scientific notation.

$1.72$

Evaluate Using Scientific Notation (4.3*10^2)*(4.0*10^-3)