Page 110 - Mathematics_Form_Two

Exponents and radicals

Example 5�31 Exercise 5�8

Simplify each of the following 1. Simplify each of the following
expressions: expressions.
(a) 67 27- (a) 27 5 3+ (c) 120 + 1080

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(b) 6 28 2 896− 4 2592 (b) 44 + 3 11 (d) 125 − 5 15625
5
5
Mathematics for Secondary Schools Solution 5 16807 + 27 = 47 (g) 6 + 4 6 486 6
(e)
(f) 1215 +
5
3
625 −
135
(c)
32 −
4
(d)
4
243
2 +
5
10935 3 15+
(h) 15 +
6
(a)
67 -
(i) 486 6 6−
(b)
6 28 2 896−
(k)58 6 2+
5
= 5 6 28 − 5 ( 2 2222228××××× ) (j) 2 50 − 8
5
5
5
= 6 28 − ( 2× 5 22222×××× × 5 28 ) (l) 243 10 4096− 5
4
5
= 6 28 − ( 2 2×× 5 28 ) (m) 5 64 − 4 112
= 6 28 4 28− 5 (n) 128 − 32
5
= 2 28
5
2. Simplify each of the following
expressions.
(c) 32 − 4 2592 2
4
(a) 2 3 + 27
4
4 32 = 4 22222×××× = 2 2 3
1 5
4 2592 = 4 6 6 6 6 2×××× = 6 2 (b) 3 81 − 3 648
4
2 6
4 32 − 4 2592 = 2 2 6 2− 4 4 (c) 6 764 + 5 486
5
4
= − 42 (d) 8 150 2 96− − 3 24
3
7
(d) 2 + 5 16807 + 5 243 (e) 6 32768 − 7 256 + 4 7 7
3
5
16807 = 5 7 7 7 7 7×××× = 7 (f) 82n − 3 3 2n + 3 52n
5 243 = 5 33333×××× = 3 (g) 45
6 18 3 50+ −
(h) 7 40− 3 + 3 5
5
5
2 + 16807 + 243 = 2 7 3++
12= 4. A recycling plant processes different
types of waste materials. One day,
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Student's Book Form Two

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MATHEMATIC F2 v5.indd 104 11/10/2024 20:12:29
MATHEMATIC F2 v5.indd 104