Evaluate Using Scientific Notation (810^-3)(5.6*10^7)

$(8 \cdot 10^{- 3}) \cdot (5.6 \cdot 10^{7})$

Step 1

Multiply $8$ by $5.6$ .

$44.8 (10^{- 3} \cdot 10^{7})$

Step 2

Multiply $10^{- 3}$ by $10^{7}$ by adding the exponents.

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

$44.8 \cdot 10^{- 3 + 7}$

Add $- 3$ and $7$ .

$44.8 \cdot 10^{4}$

Step 3

Move the decimal point in $44.8$ to the left by $1$ place and increase the power of $10^{4}$ by $1$ .

$4.48 \cdot 10^{5}$

Evaluate Using Scientific Notation (8*10^-3)*(5.6*10^7)