Evaluate Using Scientific Notation (210^-6)(6*10^7)

$(2 \cdot 10^{- 6}) \cdot (6 \cdot 10^{7})$

Step 1

Multiply $2$ by $6$ .

$12 (10^{- 6} \cdot 10^{7})$

Step 2

Multiply $10^{- 6}$ by $10^{7}$ by adding the exponents.

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

$12 \cdot 10^{- 6 + 7}$

Add $- 6$ and $7$ .

$12 \cdot 10^{1}$

Step 3

Simplify $10^{1}$ .

$12 \cdot 10$

Step 4

Multiply $12$ by $10$ .

$120$

Evaluate Using Scientific Notation (2*10^-6)*(6*10^7)