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Question

If (5)m+3×(5)2=(5)5, find the value of m.

A
m=5
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B
m=2
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C
m=3
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D
m=4
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Solution

The correct option is D m=4
By the Laws of Exponents, we know that am×bn=am+n
(5)m+3×(5)2=(5)m+3+(2)=(5)m+1(5)m+1=(5)5
Since the bases are same so we can equate the powers,
m+1=5m=51=4

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