Chapter 2. Exponents and Radicals
Chapter 2. Exponents and Radicals
Chapter 2. Exponents and Radicals
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MODULE - 1<br />
Algebra<br />
<strong>Exponents</strong> <strong>and</strong> <strong>Radicals</strong><br />
= 24 3×<br />
3×<br />
5 −16<br />
2×<br />
2×<br />
5 + 7×<br />
7×<br />
5 − 47 5<br />
Notes<br />
= 72 5 − 32 5 + 7 5 − 47 5<br />
= 5[ 72 − 32 + 7 − 47]<br />
= 5 × 0 = 0 = RHS<br />
Example <strong>2.</strong>24: Simplify: 3 3<br />
3 4<br />
2 16000 + 8 128 − 3 54 + 32<br />
Solution: 3<br />
3<br />
3<br />
2 16000 = 2 10×<br />
10×<br />
10×<br />
8×<br />
2 = 2×<br />
10×<br />
2 2 = 40<br />
3 2<br />
8 =<br />
3 3<br />
3<br />
128 = 8 4×<br />
4×<br />
4×<br />
2 32 2<br />
3 =<br />
3 3<br />
3<br />
54 = 3 3×<br />
3×<br />
3×<br />
2 9 2<br />
4 4<br />
32 = 2 2<br />
∴ Required expression<br />
= 40<br />
=<br />
3<br />
( 40 + 32 − 9)<br />
= 63<br />
3<br />
2 + 32<br />
2 + 2<br />
4<br />
3<br />
2<br />
2 − 9<br />
3<br />
3<br />
2 + 2<br />
2 + 2<br />
4<br />
2<br />
4<br />
2<br />
CHECK YOUR PROGRESS <strong>2.</strong>8<br />
Simplify each of the following:<br />
1. 175 + 112<br />
<strong>2.</strong> 32 + 200 + 128<br />
3. 3 50 + 4 18<br />
4. 108 − 75<br />
5.<br />
3 3 3<br />
24 + 81 −8<br />
3<br />
6. 3 3 3<br />
6 54 − 2 16 + 4 128<br />
7. 12 18 + 6 20 − 6 147 + 3 50 + 8 45<br />
62<br />
Mathematics Secondary Course
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