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Byju's Answer
Standard VII
Mathematics
Collection and Organisation of Data
Evaluate each...
Question
Evaluate each of the following when x = 2, y = −1.
(
2
x
y
)
×
x
2
y
4
×
x
2
×
y
2
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Solution
To multiply algebraic expressions, we use commutative and associative laws along with the laws of indices, i.e.,
a
m
×
a
n
=
a
m
+
n
.
We have:
2
x
y
×
x
2
y
4
×
x
2
×
y
2
=
2
×
1
4
×
x
×
x
2
×
x
2
×
y
×
y
×
y
2
=
2
×
1
4
×
x
1
+
2
+
2
×
y
1
+
1
+
2
=
1
2
x
5
y
4
∴
2
x
y
×
x
2
y
4
×
x
2
×
y
2
=
1
2
x
5
y
4
Substituting x = 2 and y =
-
1 in the result, we get:
1
2
x
5
y
4
=
1
2
2
5
-
1
4
=
1
2
×
32
×
1
=
16
Thus, the answer is
16
.
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0
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