Evaluate Using Scientific Notation (210^6)(0.00009)

$(2 \cdot 10^{6}) \cdot (0.00009)$

Step 1

Convert $0.00009$ to scientific notation.

$2 \cdot 10^{6} \cdot 9 \cdot 10^{- 5}$

Step 2

Multiply $2$ by $9$ .

$18 (10^{6} \cdot 10^{- 5})$

Step 3

Multiply $10^{6}$ by $10^{- 5}$ by adding the exponents.

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

$18 \cdot 10^{6 - 5}$

Subtract $5$ from $6$ .

$18 \cdot 10^{1}$

Step 4

Simplify $10^{1}$ .

$18 \cdot 10$

Step 5

Multiply $18$ by $10$ .

$180$

Evaluate Using Scientific Notation (2*10^6)*(0.00009)