Evaluate Using Scientific Notation (2.1310^6)(1.9610^7)

$(2.13 \cdot 10^{6}) (1.96 \cdot 10^{7})$

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

$(2.13 \cdot 1.96) (10^{6} \cdot 10^{7})$

Multiply $2.13$ by $1.96$ .

$4.1748 (10^{6} \cdot 10^{7})$

Multiply $10^{6}$ by $10^{7}$ by adding the exponents.

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

$4.1748 \cdot 10^{6 + 7}$

Add $6$ and $7$ .

$4.1748 \cdot 10^{13}$

Evaluate Using Scientific Notation (2.13*10^6)(1.96*10^7)