Answer:
7. The numbers 14/81 are relatively prime
8. b=3
9. 0.00001
19. 11
Step-by-step explanation:
7. Relatively prime numbers have no common factors. We only have to factor each number and compare
14=2*7
35=5*7
38=2*19
81=9*9
91=7*13
The first two numbers have 7 in common
The second have 2 in common
The third set have no common factors
The fourth set have 7 in common
The numbers 14/81 are relatively prime
8. [tex]b^{-3}=\frac{1}{27} => b^3=27 => b=\sqrt[3]{27} =3[/tex]
9. [tex]10^{-5}=\frac{1}{100000}=0.00001[/tex]
10. 100,000,000,000=10*10*...10 as many times as zeroes there are, so
[tex]100,000,000,000=10^{11}[/tex]
