(-3)2 = -32 The first of these means -3 x -3, but the second one, we have to do the index first, so we square the 3, then make it negative.

10 - (-3)2 10 - 32

a2 = 25 There are two values of a that will make this statement true. What are they?

a3 = 1 Now there is only one answer. Why?

a2 = -4 Now there are no answers! Why?

a3 = -8 How many answers?

25 ± 25 It is important to know that this symbol is asking for the positive root only. The plus minus tells us we want the positive and negative roots.

−25 Why is there no answer to this? There is no real number that can multiply by itself to make 25.

3 −1 There is an answer to this.

a) −2 3 b) −5 2 c) − 3 2 d) − 10 2 e) 5 − 3 2 f) 36 g) −16 h) ± 4 i) ± −25 j) 3 −8

a) −2 3 = -8 b) −5 2 = 25 c) − 3 2 = -9 d) − 10 2 = -100 e) 5 − 3 2 = -4 f) 36 = 6 g) −16 = an imaginary number h) ± 4 = +2 or -2 i) ± −25 = an imaginary number j) 3 −8 =−2