For this case we have the following:
a)
![(60)/(-3)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/z2s4391f4gkzqzpknhyucij2lph9sw9ms8.png)
We look for a number that multiplied by the denominator, resulting in the numerator. When multiplying
, we get the numerator. Thus, the result is
![(60)/(- 3) = - 20](https://img.qammunity.org/2019/formulas/mathematics/middle-school/h1g5n83mhi6vov02hbc5advryuboajy5m3.png)
b)
![6 - (- 3)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/osbu9eqzyt2f9wqrv0tnc47cmpcbrwvnwu.png)
The law of signs states that:
+ * + = +
+ * - = -
- * + = -
- * - = +
According to the fourth case we have to:
![6 - (- 3) = 6 + 3 = 9](https://img.qammunity.org/2019/formulas/mathematics/middle-school/whz4mbliuifiv4kz08mj3n2z64eo35r7uc.png)
c)
![(- 5) ^ 2 = (- 5) (- 5) = 25](https://img.qammunity.org/2019/formulas/mathematics/middle-school/p4xy9cmhf53qhxqct5n3sdvux3bh7pm7si.png)
For this case we apply the fourth case of the law of signs mentioned above. By power properties:
![(a) ^ 2 = (a) (a)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/cjs7kk0awrvtkozmo1x97ku14eaeq2hacs.png)
Answer:
Part a: -20
Part b: 9
Part c: 25