Evaluate Using Scientific Notation (210^-4)(8.110^-1)

$(2 \cdot 10^{- 4}) (8.1 \cdot 10^{- 1})$

Step 1

Multiply $2$ by $8.1$ .

$16.2 (10^{- 4} \cdot 10^{- 1})$

Step 2

Multiply $10^{- 4}$ by $10^{- 1}$ by adding the exponents.

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

$16.2 \cdot 10^{- 4 - 1}$

Subtract $1$ from $- 4$ .

$16.2 \cdot 10^{- 5}$

Step 3

Move the decimal point in $16.2$ to the left by $1$ place and increase the power of $10^{- 5}$ by $1$ .

$1.62 \cdot 10^{- 4}$

Evaluate Using Scientific Notation (2*10^-4)(8.1*10^-1)