EduSahara™ Assignment
Name : Equations involving Base Powers
Chapter : Exponents
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
If
5
n
=
25
, find
n
(i)
3
(ii)
2
(iii)
1
(iv)
4
(v)
(-1)
Question
2
2.
If
4
r
=
256
, find
9
r
(i)
6561
(ii)
6562
(iii)
6560
(iv)
6563
(v)
6559
Question
3
3.
If
3
(
16
m
+
2
)
=
27
(
5
m
+
5
)
, find
m
(i)
11
(ii)
15
(iii)
14
(iv)
13
(v)
12
Question
4
4.
If
729
2
x
=
81
3
x
, find
x
(i)
4
(ii)
(-1)
(iii)
1
(iv)
3
(v)
2
Question
5
5.
If
9
(
a
+
4
)
=
243
24
=
3
b
, find
b
(i)
122
(ii)
119
(iii)
120
(iv)
118
(v)
121
Question
6
6.
If
4
f
=
64
, find
4
(
f
+
3
)
(i)
4098
(ii)
4095
(iii)
4096
(iv)
4097
(v)
4094
Question
7
7.
(
x
)
(
s
−
t
)
.
(
x
)
(
t
−
u
)
.
(
x
)
(
u
−
s
)
=
(i)
(-1)
(ii)
4
(iii)
1
(iv)
0
(v)
2
Question
8
8.
If
(
5
15
)
84
=
(
5
4
)
e
, find
e
(i)
314
(ii)
318
(iii)
313
(iv)
316
(v)
315
Question
9
9.
If
81
✕
3
h
=
3
7
, find
h
(i)
3
(ii)
0
(iii)
5
(iv)
4
(v)
2
Question
10
10.
If
9
(
3
n
+
1
)
÷
729
=
9
4
, find
n
(i)
(-1)
(ii)
3
(iii)
1
(iv)
2
(v)
5
Question
11
11.
If
686000
=
x
3
✕
y
3
✕
z
4
, find
x
,
y
,
z
(i)
(8,5,2)
(ii)
(7,5,2)
(iii)
(8,5,1)
(iv)
(7,5,3)
(v)
(7,6,2)
Question
12
12.
If
8100
=
2
b
✕
3
c
✕
5
d
, find
b
,
c
,
d
(i)
(2,6,2)
(ii)
(4,4,2)
(iii)
(4,4,0)
(iv)
(2,4,4)
(v)
(2,4,2)
Question
13
13.
If
k
v
=
l
,
l
w
=
m
and
m
x
=
k
, then
v
w
x
=
(i)
-1
(ii)
0
(iii)
k
l
m
(iv)
(
k
+
l
+
m
)
(v)
1
Question
14
14.
If
p
w
=
q
x
=
r
y
=
s
z
and
p
q
=
r
s
, then
(i)
x
y
=
w
z
(ii)
1
x
+
1
w
=
1
y
+
1
z
(iii)
1
x
+
1
z
=
1
y
+
1
w
(iv)
x
w
=
y
z
(v)
1
x
+
1
y
=
1
w
+
1
z
Question
15
15.
If
p
(
t
−
1
)
=
q
r
,
q
(
u
−
1
)
=
r
p
,
r
(
v
−
1
)
=
p
q
then
a)
(
t
+
u
+
v
)
=
1
b)
t
u
+
u
v
+
v
t
=
1
c)
t
u
+
u
v
+
v
t
=
0
d)
t
u
+
u
v
+
v
t
=
t
u
v
e)
t
u
v
=
1
(i)
{c,e,d}
(ii)
{d}
(iii)
{a,d}
(iv)
{b,d}
Question
16
16.
Simplify
(
t
k
t
l
)
(
k
+
l
)
(
t
l
t
m
)
(
l
+
m
)
(
t
m
t
k
)
(
m
+
k
)
(i)
1
(ii)
t
(
k
+
l
+
m
)
(iii)
0
(iv)
t
(v)
-1
Question
17
17.
Simplify
(
y
a
)
(
b
−
c
)
(
y
b
)
(
c
−
a
)
(
y
c
)
(
a
−
b
)
(i)
y
(
a
+
b
+
c
)
(ii)
-1
(iii)
0
(iv)
y
(v)
1
Question
18
18.
Simplify
(
w
(
b
+
c
)
)
(
b
−
c
)
(
w
(
c
+
d
)
)
(
c
−
d
)
(
w
(
d
+
b
)
)
(
d
−
b
)
(i)
1
(ii)
w
(iii)
-1
(iv)
0
(v)
w
(
b
+
c
+
d
)
Question
19
19.
Simplify
(
y
k
y
l
)
m
(
y
l
y
m
)
k
(
y
m
y
k
)
l
(i)
0
(ii)
1
(iii)
y
(iv)
-1
(v)
y
(
k
+
l
+
m
)
Question
20
20.
(
f
(-7)
+
g
(-7)
)
0
=
(i)
(-1)
(ii)
0
(iii)
4
(iv)
1
(v)
f
(-7)
+
g
(-7)
Assignment Key
1) (ii)
2) (i)
3) (iv)
4) (v)
5) (iii)
6) (iii)
7) (iii)
8) (v)
9) (i)
10) (iv)
11) (ii)
12) (v)
13) (v)
14) (ii)
15) (ii)
16) (i)
17) (v)
18) (i)
19) (ii)
20) (iv)
