Module-1 Algebra - Mathematics Secondary Course - Exponents And Radicals Worksheet Page 7
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37MODULE -
1
Exponents and Radicals
Algebra
∴ 24300 = 2
2
5
2
× 3
×5
Example 2.7:
Express 98784 in exponential form.
Solution:
2
98784
Notes
2
49392
2
24696
∴ 98784 = 2
5
2
3
× 3
× 7
2
12348
2
6174
3
3087
3
1029
7
343
7
49
7
CHECK YOUR PROGRESS 2.2
1. Express each of the following as a product of powers of primes, i.e, in exponential form:
(i) 429
(ii) 648
(iii) 1512
2. Express each of the following in exponential form:
(i) 729
(ii) 512
(iii) 2592
1331
243
−
(iv)
(v)
4096
32
2.3 LAWS OF EXPONENTS
Consider the following
2
3
(i) 3
× 3
= (3 × 3) × (3 × 3 × 3) = (3 × 3 × 3 × 3 × 3)
5
2 + 3
= 3
= 3
2
4
(ii) (–7)
× (–7)
= [(–7) × (–7)] × [(–7) × (–7) × (–7) × (–7)]
= [ (–7) × (–7) × (–7) × (–7) × (–7) × (–7)]
6
2+4
= (–7)
= (–7)
3
4
⎛
⎞
⎛
⎞
⎛
⎞
⎛
⎞
3
3
3
3
3
3
3
3
3
×
=
×
×
× ⎟
×
×
×
⎜
⎟
⎜
⎟
⎜
⎜
⎟
(iii)
⎝
⎠
⎝
⎠
⎝
⎠
⎝
⎠
4
4
4
4
4
4
4
4
4
Mathematics Secondary Course
45
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