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Question

Which of the following numbers is not equal to 827?
(a) (23)3

(b) (23)3

(c) (23)3

(d) 23×23×23

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Solution

The correct option is (a): (23)3

For option (a)

(23)3=(32)3 [Using the identity a1=1a]

=32×32×32=278

so, option (a), is not equal to given question i.e, 827

Check for option (b)

(23)3=(23)×(23)×(23)=827

so, option (b) is equal to the given question.

Check for option (c)

(23)3=(23)×(23)×(23)=2×2×23×3×3=827

so, option (c) is equal to the given question.

Check for option (d)

23×23×23=2×2×23×3×3=827

so, option (d) is equal to the given question.

Hence, our answer will be option (a).


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