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Byju's Answer
Standard VII
Mathematics
Powers with Positive and Negative Exponents
Which of the ...
Question
Which of the following equations are correctly written?
A
a
m
b
m
=
(
a
b
)
m
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B
a
m
b
n
=
(
a
b
)
m
−
n
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C
a
m
×
a
n
=
(
a
)
m
n
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D
a
m
a
n
=
(
a
)
m
−
n
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Solution
The correct option is
D
a
m
a
n
=
(
a
)
m
−
n
For any non-zero integers 'a' and 'b', we have,
a
m
b
m
=
(
a
b
)
m
a
m
×
b
m
=
(
a
×
b
)
m
a
m
×
a
n
=
(
a
)
m
+
n
a
m
a
n
=
(
a
)
m
−
n
where 'm' and 'n' are any integers.
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