Evaluate Using Scientific Notation (1.1510^5)(3.65*10^2)

$(1.15 \cdot 10^{5}) \cdot (3.65 \cdot 10^{2})$

Step 1

Multiply $1.15$ by $3.65$ .

$4.1975 (10^{5} \cdot 10^{2})$

Step 2

Multiply $10^{5}$ by $10^{2}$ by adding the exponents.

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

$4.1975 \cdot 10^{5 + 2}$

Add $5$ and $2$ .

$4.1975 \cdot 10^{7}$

Evaluate Using Scientific Notation (1.15*10^5)*(3.65*10^2)