Evaluate Using Scientific Notation (2.310^4)(810^-7)

$(2.3 \cdot 10^{4}) (8 \cdot 10^{- 7})$

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

$(2.3 \cdot 8) (10^{4} \cdot 10^{- 7})$

Multiply $2.3$ by $8$ .

$18.4 (10^{4} \cdot 10^{- 7})$

Multiply $10^{4}$ by $10^{- 7}$ by adding the exponents.

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

$18.4 \cdot 10^{4 - 7}$

Subtract $7$ from $4$ .

$18.4 \cdot 10^{- 3}$

Write $18.4 \cdot 10^{- 3}$ in proper scientific notation.

$1.84 \cdot 10^{- 2}$

Convert $1.84 \cdot 10^{- 2}$ from scientific notation.

$0.0184$

Evaluate Using Scientific Notation (2.3*10^4)(8*10^-7)