Everything Maths Grade 11

(Marvins-Underground-K-12) #1

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:



  1. 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



  1. Re-write the following expression as a powerof x:


x


x


x


x


x
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