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Question

Find the value of m
5m+2 × 54 = 53.


A

0

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B

-4

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C

1

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D

-3

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Solution

The correct option is D

-3


am × an = am+n
So
5m+2 × 54 = 5m+2+4 = 5m+6
5m+6 = 53
Equating the exponents,
m+6=3
m=36
m=3


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