Math 222 Week 3 Discussion - Math 222 Discussion Week 3 My...

Math 222: Discussion Week 3
My assigned problems are 84 and 66 from pages 576-577.
Simplify each expression using the rules of exponents.
#84 9
− 1
9
1
2
First I need to exponentiate the power.
3
− 2
∙ 3
The following product rule is applied:
(
A
B
)
C
= A
BC
From this formula, I know that for the first exponent; A is equal to 3, B is equal to 2, and C is
equal to -1. For the second exponent; A is equal to 3, B is equal to 2, and C is equal to ½.
The next step is to combine like factors in the term by adding up all the exponents and copying
the base. No exponent implies the value of 1. The like factors for the problem are :
3
− 2
, ❑
3
3
− 2
∙ 3 ¿ 3
− 2 + 1
I next follow the quotient rule and make any negative exponent positive. I can accomplish this
by using the following formula:
A
− B
=
1
A
B
I can see from
3
− 2
∙ 3 ¿ 3
− 2 + 1
That A is equal to 3 and B is equal to 1. Further simplification reveals that the final solution to