Evaluate Using Scientific Notation (510^2)(310^4)

$(5 \cdot 10^{2}) (3 \cdot 10^{4})$

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

$(5 \cdot 3) (10^{2} \cdot 10^{4})$

Multiply $5$ by $3$ .

$15 (10^{2} \cdot 10^{4})$

Multiply $10^{2}$ by $10^{4}$ by adding the exponents.

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

$15 \cdot 10^{2 + 4}$

Add $2$ and $4$ .

$15 \cdot 10^{6}$

Write $15 \cdot 10^{6}$ in proper scientific notation.

$1.5 \cdot 10^{7}$

Evaluate Using Scientific Notation (5*10^2)(3*10^4)