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Question

Write in single exponent form:

52×32


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Solution

In 52×32, there are different bases but the exponents are same.

So, for any non-zero integers a,b where m is any whole number,

am×bm=abm

52×32=(5×5)×(3×3) (Here a=5,b=3,m=2)

=(5×3)×(5×3)

=(5×3)2

=152

Therefore, 52×32=152


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