Question

1. Rewrite 10^32 • 10^6 using a single exponent

2. Each year, roughly 10^6 computer programmers each make about $10^5 How much money is this all together? Express your answer both as a power of 10 and as a dollar amount.

Answer 1

1. 10^(38)

2. total amount = 10^11 or total amount = $100000000000

Explanation:

For every time that we multiply powers with the same base we maintain the base and sum the powers. Therefore we have:

1. (10^32)*(10^6)

10^(32 + 6)

10^(38)

2. If each of the 10^6 programmers make 10^5 then the total money they make together is the product of the number of programs with the sallary each makes. We have:

total = (10^6)*(10^5)

total = 10^(6 + 5)

total = 10^11

total = $100000000000