Answer
The sun emits electromagnetic waves at a rate of $4.0\times 10^{26}~W$
Work Step by Step
We can find the rate at which the sun emits electromagnetic waves:
$I = \frac{P}{A}$
$P = I~A$
$P = I~(4\pi~r^2)$
$P = (1.4\times 10^3~W/m^2)~(4\pi)~(1.5\times 10^{11}~m)^2$
$P = 4.0\times 10^{26}~W$
The sun emits electromagnetic waves at a rate of $4.0\times 10^{26}~W$