Evaluate Using Scientific Notation (6.0210^23)(3.3510^-23)

$(6.02 \cdot 10^{23}) (3.35 \cdot 10^{- 23})$

Step 1

Multiply $6.02$ by $3.35$ .

$20.167 (10^{23} \cdot 10^{- 23})$

Step 2

Multiply $10^{23}$ by $10^{- 23}$ by adding the exponents.

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

$20.167 \cdot 10^{23 - 23}$

Subtract $23$ from $23$ .

$20.167 \cdot 10^{0}$

Step 3

Simplify $10^{0}$ .

$20.167 \cdot 1$

Step 4

Multiply $20.167$ by $1$ .

$20.167$

Evaluate Using Scientific Notation (6.02*10^23)(3.35*10^-23)