DAV Public School
Pokhariput, Bhubaneswar
Subject โ Mathematics, Class VIII
Chapter 3: Exponents and Radicals
Worksheet (Standard)
1.
Express each of the following numbers as a product of powers of their prime
factors:
a) 392 b) 864
1
2.
Choose the correct option:
a) 34 ร 62 = 186
b) 40 = 0
c) 52 > 25
d) (ax)y = axy
1
3.
What power of (-3) is 729?
2
4.
If 24 + 32= 5x, then find x.
2
5.
Convert the following exponential forms to radical forms:
a) (45
8)2/9 b) (253)7/5
2
6.
Simplify and write the answer in exponential form:
a) (42)3 รท 44
b) (55 รท 53) ร 51
c) 100 ร 60
3
7.
Find the value of the following:
(a) (-1/4)3 (b) (-2/7)2 (c) 34 X (-1)173
3
8.
Find the value:
a) (64
1331) 2/3
b) โ1252
3
c) โ363
2
3
9.
Simplify: (64)โ1
6 x (216)โ1
3 x (81)1
4
(512)โ1
3 x (16)1
4 x (9)โ1
2
4
10.
Simplify and express the answer with positive indices: [โ๐ฅ4๐ฆ
3 x 1
โ๐ฅ๐ฆ7
3]โ4
4
