Evaluate Using Scientific Notation (6.110^-3)(810^9)

$(6.1 \cdot 10^{- 3}) (8 \cdot 10^{9})$

Step 1

Multiply $6.1$ by $8$ .

$48.8 (10^{- 3} \cdot 10^{9})$

Step 2

Multiply $10^{- 3}$ by $10^{9}$ by adding the exponents.

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

$48.8 \cdot 10^{- 3 + 9}$

Add $- 3$ and $9$ .

$48.8 \cdot 10^{6}$

Step 3

Move the decimal point in $48.8$ to the left by $1$ place and increase the power of $10^{6}$ by $1$ .

$4.88 \cdot 10^{7}$

Evaluate Using Scientific Notation (6.1*10^-3)(8*10^9)