CHAPTER 2. EXPONENTS 2.
Example 2: More rational Exponents
QUESTION
Simplify:
(16x^4 )
3
4
SOLUTION
Step 1 : Convert the number coefficient to a product of it’s prime factors
= (2^4 x^4 )
(^34)
Step 2 : Apply exponential laws
= 2^4 ×
(^34)
.x^4 ×
(^34)
= 2^3 .x^3
= 8x^3
See video: VMebb at http://www.everythingmaths.co.za
Exercise 2 - 1
Use all the laws to:
- Simplify:
(a) (x^0 ) + 5x^0 − (0,25)−^0 ,^5 + 8
2
3
(b) s
1
(^2) ÷ s
1
3
(c) (64m^6 )
2
3
(d)
12 m
7
9
8 m−
11
9
- Re-write the following expression as a powerof x:
x
�
x
�
x
�
x
√
x