Powers and Exponents
Learning Objective:
Realize the concept of Exponential form.
What is exponential form?
When a number is multiplied by itself several times , it can be written in short form
as : 3 x 3 x 3 x 3 x 3 x 3 x 3 = 37 . The concise way of writing a number (or an
expression) multiplied by itself repeatedly is known as the exponential form or
exponential expression.
Watch this video:
https://www.youtube.com/watch?v=WwHyPoqUQec
Guided Practice
1. Write the base and the exponent of the following:
(i) (−4)7
(ii) 175
2. Find the value of the following:
(i)
(−3)6
(ii)
7 3
−
9
3. Express the following in power notation
− 125
(i) 72
(ii)
216


Find the value of:
5 3
2

3. Express the following in power notation
− 32
243

LEVEL 1
1. Write the base and exponent of each of the following
4 5
(i) (−40)16 (ii)
5
2. Express in power notation
81
− 32
(i) – 216
(ii) 49
(iii) 243
LEVEL 2
1. Express each of the following as the product of powers of their prime factors
(i) 675
(ii) 4800
2. Find the value of:
5 3
3 2
−1 3
(i) 2
(ii) 4 x 2
x 23
LEVEL 3
1. Is 23 equal to 32 ? justify
4 2
2 3 1
2. Simplify and express as a power of a rational number 3 x 3 x 4
level 4:



Find the value of (−4)2
EXTENDED LEARNING
1. Express in power notation
(i) – 343
2. Find the value of
(i) (−13)3
(ii) (52 − 42 ) x
1
32