Evaluate Using Scientific Notation (8.310^9)(3.110^-11)

$(8.3 \cdot 10^{9}) (3.1 \cdot 10^{- 11})$

Step 1

Multiply $8.3$ by $3.1$ .

$25.73 (10^{9} \cdot 10^{- 11})$

Step 2

Multiply $10^{9}$ by $10^{- 11}$ by adding the exponents.

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

$25.73 \cdot 10^{9 - 11}$

Subtract $11$ from $9$ .

$25.73 \cdot 10^{- 2}$

Step 3

Move the decimal point in $25.73$ to the left by $1$ place and increase the power of $10^{- 2}$ by $1$ .

$2.573 \cdot 10^{- 1}$

Evaluate Using Scientific Notation (8.3*10^9)(3.1*10^-11)