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Question

What can (52)3 be expressed as:

A
56
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B
55
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C
58
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D
59
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Solution

The correct option is A 56
(52)3 can be written as,
(52)3=52×52×52

Since the exponents 2 have the same base 5, we can further write as,
(52)3=52×52×52
=5(2+2+2) ( am×an×ap=am+n+p)
=56
Alternate solution:
(am)n=amn
(52)3=52×3=56

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