Module-1 Algebra - Mathematics Secondary Course - Exponents And Radicals Worksheet Page 32
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37MODULE -
1
Exponents and Radicals
Algebra
20
20
⎛
⎞
⎛
⎞
37
37
−
÷
−
⎜
⎟
⎜
⎟
(ii)
⎝
⎠
⎝
⎠
19
19
Notes
5
⎡
⎤
3
⎛
⎞
3
⎜
⎟
⎢
⎥
(iii)
⎝
⎠
⎢
⎥
13
⎣
⎦
4. Simplify each of the following:
o
o
o
o
o
o
o
(i) 3
+ 7
+ 37
– 3
(ii) ( 7
+ 3
) ( 7
– 3
)
5. Simplify the following:
−
3
5
⎛
⎞
⎛
⎞
2
2
( )
( )
( ) ( )
−
×
−
⎜
⎟
⎜
⎟
−
−
÷
×
12
6
6
5
(i)
(ii)
(iii)
32
32
111
111
⎝
⎠
⎝
⎠
9
9
−
3
11
x
⎛
⎞
⎛
⎞
⎛
⎞
3
3
3
×
=
⎜
⎟
⎜
⎟
⎜
⎟
6. Find x so that
⎝
⎠
⎝
⎠
⎝
⎠
7
7
7
−
−
+
2
9
2
x
1
⎛
⎞
⎛
⎞
⎛
⎞
3
3
3
×
=
⎜
⎟
⎜
⎟
⎜
⎟
7. Find x so that
⎝
⎠
⎝
⎠
⎝
⎠
13
13
13
8. Express as a product of primes and write the answers of each of the following in
exponential form:
(i) 6480000
(ii) 172872
(iii) 11863800
13
9. The star sirus is about 8.1 × 10
km from the earth. Assuming that the light travels at
5
3.0 × 10
km per second, find how long light from sirus takes to reach earth.
10. State which of the following are surds:
36
+
3
9
4
(i)
(ii)
729
(iii)
5
1
(iv)
3125
289
11. Express as a pure surd:
3
5
2
(i)
3
3
(ii)
5
4
(iii)
5
2
12. Express as a mixed surd in simplest form:
(i)
(ii)
(iii)
4
5
3
405
320
128
13. Which of the following are pairs of similar surds?
×
(i)
(ii)
3
3
(iii)
6
112
,
343
625
,
3125
25
216
,
250
70
Mathematics Secondary Course
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