4. Explain the difference between (-5)2 and
- 5²

The square of a negative number is a positive number as 2 negatives cancel when multiplied.

(-5)² = (-5)*(-5) = 25

In this case the negative sign stays as is because it is not affected by a square.

- 5² = - (5)*(5) = -25

1. Exponents are the repeated multiplication of a number. It is represented by the formula of a^n where a is the number to be repeated and n is the number of times the number is being multiplies by itself. Also include the sign of the number, no matter how it is multiplied, it is still important. For instance you have 4(4), you have 4 as the repeated number. You can see that it is multiplied by itself by two times. So you have (-4)^2.

2. Graphs and tables are the key features in finding a model between two quantities. If he data values, after plotting it into a graph, produces a straight line, then you will have a direct relationship between the two and sometimes you can get an equation of the line. Sometimes it will give you a curved line. That is why it is important to graph the values of the table to better understand the relationship between two variables.