Question

multiply in scientific notation practice. complete this assessment to review what youve learned. it will not count toward your grade. 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)

Explanation:

Step1: Multiply the coefficients

Multiply 4 and 3.15: $4\times3.15 = 12.6$

Step2: Multiply the powers of 10

Use the rule $a^m\times a^n=a^{m + n}$. So, $10^{26}\times10^{7}=10^{26 + 7}=10^{33}$

Step3: Combine results and adjust to scientific - notation

The product is $12.6\times10^{33}$. But in scientific notation, the coefficient should be between 1 and 10. So, $12.6\times10^{33}=1.26\times10^{34}$

Answer:

$1.26\times10^{34}$