Answer: [tex]1.2675*10^{37}\ ergs[/tex]
Step-by-step explanation:
Let be "x" the amount of ergs the sun produces in[tex]3.25 * 10^3\ seconds[/tex].
According to the information provided in the exercise, in 1 second the sun produces [tex]3.9 * 10^{33}\ ergs[/tex] of radiant energy.
Then, in order to find the value of "x" you can write the following proportion:
[tex]\frac{ 3.9 * 10^{33}\ ergs}{1\ second}=\frac{x}{3.25 * 10^3\ seconds}[/tex]
Finally, you must solve for "x".
Therefore, you get:
[tex]x=\frac{( 3.9 * 10^{33}\ ergs)( 3.25 * 10^3 seconds)}{1\ second}\\\\x=1.2675*10^{37}\ ergs[/tex]
