The sun generates about 4×1026 joules of energy every second. There are about 3.15×107 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 the total amount of energy generated by the sun in a year, we need to multiply the energy generated per second (4×10^26 joules) by the number of seconds in a year (3.15×10^7 seconds).

When multiplying numbers in scientific notation, we add their exponents:
(4×10^26) * (3.15×10^7) = (4 * 3.15) * (10^26 * 10^7) = 12.6 * 10^(26+7)

Adding the exponents, we get 26 + 7 = 33.

Therefore, the sun generates approximately 12.6×10^33 joules of energy in a year.