To determine the power [tex]\( P \)[/tex] of an electric circuit, we use the formula:
[tex]\[ P = IV \][/tex]
where [tex]\( I \)[/tex] represents the current in amperes (A) and [tex]\( V \)[/tex] represents the voltage in volts (V).
Given:
[tex]\[ I = 6.5 \, \text{A} \][/tex]
[tex]\[ V = 120 \, \text{V} \][/tex]
We substitute these values into the formula for power:
[tex]\[ P = 6.5 \, \text{A} \times 120 \, \text{V} \][/tex]
Upon calculating the product:
[tex]\[ P = 780 \, \text{W} \][/tex]
Hence, the power [tex]\( P \)[/tex] of the electric circuit is:
[tex]\[ 780 \, \text{W} \][/tex]
So the correct answer is:
[tex]\[ \text{C. 780 W} \][/tex]