Evaluate Using Scientific Notation (2.810^2)(6.5*10^-7)

$(2.8 \cdot 10^{2}) \cdot (6.5 \cdot 10^{- 7})$

Step 1

Multiply $2.8$ by $6.5$ .

$18.2 (10^{2} \cdot 10^{- 7})$

Step 2

Multiply $10^{2}$ by $10^{- 7}$ by adding the exponents.

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

$18.2 \cdot 10^{2 - 7}$

Subtract $7$ from $2$ .

$18.2 \cdot 10^{- 5}$

Step 3

Move the decimal point in $18.2$ to the left by $1$ place and increase the power of $10^{- 5}$ by $1$ .

$1.82 \cdot 10^{- 4}$

Evaluate Using Scientific Notation (2.8*10^2)*(6.5*10^-7)