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 />
Notes<br />
<strong>2.</strong> Base Exponent<br />
(i) – 3 5<br />
(ii) 7 4<br />
(iii)<br />
2<br />
− 8<br />
11<br />
81<br />
3. (i) 2401<br />
4. (i) 7<br />
3<br />
16<br />
(ii) 6561<br />
625<br />
(ii) 324<br />
(iii)<br />
27<br />
−<br />
64<br />
⎛ 1 ⎞<br />
5. (i) ⎜ ⎟⎠<br />
⎝ 3<br />
<strong>2.</strong>2<br />
5<br />
(ii)<br />
4<br />
⎛ 1 ⎞<br />
⎜ − ⎟⎠<br />
⎝ 7<br />
(iii)<br />
4<br />
⎛ 5 ⎞<br />
⎜ − ⎟⎠<br />
⎝ 3<br />
1. (i) 3 1 × 11 1 × 13 1 (ii) 2 3 × 3 4 (iii) 2 3 × 3 3 × 7 1<br />
<strong>2.</strong> (i) 3 6 (ii) 2 9 (iii) 2 5 × 3 4<br />
3<br />
11<br />
(iv)<br />
12<br />
2<br />
(v) ( − 7 )<br />
2<br />
5<br />
3<br />
<strong>2.</strong>3<br />
⎛ 3 ⎞<br />
1. (i) (7) 5 (ii) ⎜ ⎟⎠<br />
⎝ 4<br />
⎛ 3 ⎞<br />
<strong>2.</strong> (i) (–7) 2 (ii) ⎜ ⎟⎠<br />
⎝ 4<br />
⎛ 3 ⎞<br />
3. (i) 2 18 (ii) ⎜ ⎟⎠<br />
⎝ 4<br />
5<br />
6<br />
6<br />
(iii)<br />
(iii)<br />
(iii)<br />
6<br />
⎛ 7 ⎞<br />
⎜ − ⎟⎠<br />
⎝ 8<br />
15<br />
⎛ 7 ⎞<br />
⎜ − ⎟⎠<br />
⎝ 8<br />
15<br />
⎛ 5 ⎞<br />
⎜ − ⎟⎠<br />
⎝ 9<br />
⎛11⎞<br />
(iv) ⎜ ⎟⎠<br />
⎝ 3<br />
5<br />
⎛ 7 ⎞<br />
(v) ⎜ − ⎟⎠<br />
⎝ 11<br />
3<br />
4. True: (i), (ii), (vii)<br />
False: (iii), (iv), (v), (vi)<br />
72<br />
Mathematics Secondary Course
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