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Question: Give the exponential expression (2 × 3)2 with separated factors in multiplication form assigned with their respective exponents.
A ) 2 x 3
B ) 2 x 2
C ) 22 x 32
D ) None of the above
Steps to derive
[Original expression.]
1 (2 x 3)2
[Write the factors.]
2 = (2 x 3) (2 x 3)
[Arrange the factors using commutative property.]
3 = 2 x 2 x 3 x 3
[Group the factors using associative property.]
4 = (2 x 2) x (3 x 3)
[Write the powers.]
5 = 22 x 32
6 The exponential expression (2 x 3)2 with separated factors in multiplication form assigned with their respective exponents is 22 x 32.
Hence the right answer is Option C
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