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Byju's Answer
Standard VII
Mathematics
Multiplication of Integers
Express each ...
Question
Express each of the following in exponential form:
(i) x
× x × x × x × a × a × b × b × b
(ii) (
−2
)
× (−2) × (−2) × (−2) × a × a × a
(iii)
-
2
3
×
-
2
3
×
x
×
x
×
x
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Solution
We have
(i)
x
×
x
×
x
×
x
×
a
×
a
×
b
×
b
×
b
=
x
4
a
2
b
3
(ii)
(
-
2
)
×
(
-
2
)
×
(
-
2
)
×
(
-
2
)
×
a
×
a
×
a
=
(
-
2
)
4
×
a
3
(iii)
-
2
3
×
-
2
3
×
x
×
x
×
x
=
-
2
3
2
×
x
3
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0
Similar questions
Q.
Express each of the following product as a monomials and verify the result for x = 1, y = 2:
-
4
7
a
2
b
×
-
2
3
b
2
c
×
-
7
6
c
2
a
Q.
The exponential expression [23 x 4
-2
] ÷ 8
-2
Q.
Find each of the following products:
(i) (x + 6)(x + 6)
(ii) (4x + 5y)(4x + 5y)
(iii) (7a + 9b)(7a + 9b)
(iv)
2
3
x
+
4
5
y
2
3
x
+
4
5
y
(v) (x
2
+ 7)(x
2
+ 7)
(vi)
5
6
a
2
+
2
5
6
a
2
+
2
Q.
Factorize each of the following expressions:
x
2
− 2ax − 2ab + bx
Q.
Add the following expressions:
(i) 5x, 7x, −6x
(ii)
3
5
x
,
2
3
x
,
-
4
5
x
(iii) 5a
2
b, −8a
2
b, 7a
2
b
(iv)
3
4
x
2
,
5
x
2
,
-
3
x
2
,
-
1
4
x
2
(v) x − 3y + 4z, y − 2x − 8z, 5x − 2y − 3z
(vi) 2x
2
− 3y
2
, 5x
2
+ 6y
2
, − 3x
2
− 4y
2
(vii) 5x − 2x
2
− 8, 8x
2
− 7x − 9, 3 + 7x
2
− 2x
(viii)
2
3
a
-
4
5
b
+
3
5
c
,
-
3
4
a
-
5
2
b
+
2
3
c
,
5
2
a
+
7
4
b
-
5
6
c
(ix)
8
5
x
+
11
7
y
+
9
4
x
y
,
-
3
2
x
-
5
3
y
-
9
5
x
y
(x)
3
2
x
3
-
1
4
x
2
+
5
3
,
-
5
4
x
3
+
3
5
x
2
-
x
+
1
5
,
-
x
2
+
3
8
x
-
8
15
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