Evaluate Using Scientific Notation (2.0610^4)(5.510^-9)

$(2.06 \cdot 10^{4}) (5.5 \cdot 10^{- 9})$

Step 1

Multiply $2.06$ by $5.5$ .

$11.33 (10^{4} \cdot 10^{- 9})$

Step 2

Multiply $10^{4}$ by $10^{- 9}$ by adding the exponents.

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

$11.33 \cdot 10^{4 - 9}$

Subtract $9$ from $4$ .

$11.33 \cdot 10^{- 5}$

Step 3

Move the decimal point in $11.33$ to the left by $1$ place and increase the power of $10^{- 5}$ by $1$ .

$1.133 \cdot 10^{- 4}$

Evaluate Using Scientific Notation (2.06*10^4)(5.5*10^-9)