Evaluate Using Scientific Notation (2.310^2)(4.510^-7)

$(2.3 \cdot 10^{2}) (4.5 \cdot 10^{- 7})$

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

$(2.3 \cdot 4.5) (10^{2} \cdot 10^{- 7})$

Multiply $2.3$ by $4.5$ .

$10.35 (10^{2} \cdot 10^{- 7})$

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

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

$10.35 \cdot 10^{2 - 7}$

Subtract $7$ from $2$ .

$10.35 \cdot 10^{- 5}$

Write $10.35 \cdot 10^{- 5}$ in proper scientific notation.

$1.035 \cdot 10^{- 4}$

Evaluate Using Scientific Notation (2.3*10^2)(4.5*10^-7)