Evaluate Using Scientific Notation (6.0210^23)(8.6510^4)

$(6.02 \cdot 10^{23}) (8.65 \cdot 10^{4})$

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

$(6.02 \cdot 8.65) (10^{23} \cdot 10^{4})$

Multiply $6.02$ by $8.65$ .

$52.073 (10^{23} \cdot 10^{4})$

Multiply $10^{23}$ by $10^{4}$ by adding the exponents.

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

$52.073 \cdot 10^{23 + 4}$

Add $23$ and $4$ .

$52.073 \cdot 10^{27}$

Write $52.073 \cdot 10^{27}$ in proper scientific notation.

$5.2073 \cdot 10^{28}$

Evaluate Using Scientific Notation (6.02*10^23)(8.65*10^4)