Evaluate Using Scientific Notation (8.910^-3)(6.910^6)

$(8.9 \cdot 10^{- 3}) (6.9 \cdot 10^{6})$

Step 1

Multiply $8.9$ by $6.9$ .

$61.41 (10^{- 3} \cdot 10^{6})$

Step 2

Multiply $10^{- 3}$ by $10^{6}$ by adding the exponents.

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

$61.41 \cdot 10^{- 3 + 6}$

Add $- 3$ and $6$ .

$61.41 \cdot 10^{3}$

Step 3

Move the decimal point in $61.41$ to the left by $1$ place and increase the power of $10^{3}$ by $1$ .

$6.141 \cdot 10^{4}$

Evaluate Using Scientific Notation (8.9*10^-3)(6.9*10^6)