The sun generates about 4×10^26 joules of energy every second. There are about 3.15×10^7 seconds in a year. About how many joules of energy does the sun generate in a year? Write the answer in scientific notation. Express the answer to the exact decimal place.(1 point)

1 answer

To find out how many joules of energy does the sun generate in a year, we need to multiply the energy generated every second by the number of seconds in a year.

Energy generated every second = 4×10^26 joules
Number of seconds in a year = 3.15×10^7 seconds

Energy generated in a year = (4×10^26 joules) * (3.15×10^7 seconds)
Energy generated in a year = (4 * 3.15) * (10^26 * 10^7) joules
Energy generated in a year = 12.6 * 10^(26+7) joules
Energy generated in a year = 12.6 * 10^33 joules

So, the sun generates about 1.26×10^34 joules of energy in a year.