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Question

Which of the following is the simplest form of 95245?

A
Not possible to simplify
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B
(94)5
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C
(34)5
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D
(34)252
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Solution

The correct option is C (34)5
Need to simplify:–––––––––––––––––––95245

In the given exponent 95245, neither bases nor exponents are equal.

Let's try to make exponents/powers equal.
95245
=(32)5245 [ As 9=3×3=32]

=32×5245
[ Repeated exponentiation: (am)n=am×n ]

=3545

95245=(34)5–––––––––––––
[ <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Division rule of exponent: anbn=(ab)n ]

Therefore, option (c.) is the correct one.

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