Evaluate Using Scientific Notation (3.310^3)(1.810^4)

$(3.3 \cdot 10^{3}) (1.8 \cdot 10^{4})$

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

$(3.3 \cdot 1.8) (10^{3} \cdot 10^{4})$

Multiply $3.3$ by $1.8$ .

$5.94 (10^{3} \cdot 10^{4})$

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

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

$5.94 \cdot 10^{3 + 4}$

Add $3$ and $4$ .

$5.94 \cdot 10^{7}$

Evaluate Using Scientific Notation (3.3*10^3)(1.8*10^4)