Evaluate Using Scientific Notation (2.510^-3)(1.210^4)

$(2.5 \cdot 10^{- 3}) (1.2 \cdot 10^{4})$

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

$(2.5 \cdot 1.2) (10^{- 3} \cdot 10^{4})$

Multiply $2.5$ by $1.2$ .

$3 (10^{- 3} \cdot 10^{4})$

Multiply $10^{- 3}$ by $10^{4}$ by adding the exponents.

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

$3 \cdot 10^{- 3 + 4}$

Add $- 3$ and $4$ .

$3 \cdot 10^{1}$

Simplify $10^{1}$ .

$3 \cdot 10$

Multiply $3$ by $10$ .

$30$

Evaluate Using Scientific Notation (2.5*10^-3)(1.2*10^4)