Evaluate Using Scientific Notation (8.810^2)(2.2510^-2)

$(8.8 \cdot 10^{2}) (2.25 \cdot 10^{- 2})$

Group coefficients together and exponents together to multiply numbers in scientific notation.

$(8.8 \cdot 2.25) (10^{2} \cdot 10^{- 2})$

Multiply $8.8$ by $2.25$ .

$19.8 (10^{2} \cdot 10^{- 2})$

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

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

$19.8 \cdot 10^{2 - 2}$

Subtract $2$ from $2$ .

$19.8 \cdot 10^{0}$

Simplify $10^{0}$ .

$19.8 \cdot 1$

Multiply $19.8$ by $1$ .

$19.8$

Evaluate Using Scientific Notation (8.8*10^2)(2.25*10^-2)