Evaluate Using Scientific Notation (410^-6)(9.1*10^3)

$(4 \cdot 10^{- 6}) \cdot (9.1 \cdot 10^{3})$

Step 1

Multiply $4$ by $9.1$ .

$36.4 (10^{- 6} \cdot 10^{3})$

Step 2

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

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

$36.4 \cdot 10^{- 6 + 3}$

Add $- 6$ and $3$ .

$36.4 \cdot 10^{- 3}$

Step 3

Move the decimal point in $36.4$ to the left by $1$ place and increase the power of $10^{- 3}$ by $1$ .

$3.64 \cdot 10^{- 2}$

Evaluate Using Scientific Notation (4*10^-6)*(9.1*10^3)