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Question

The simplest form of 272×93? is .

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Solution

272×93
=(33)2×(32)3
[As 27=3×3×3=33 and 9=3×3=32]

=33×2×32×(3) [As (am)n=am×n]
=36×36
[ Multiplication of exponents with same base: am×an=am+n ]

=36+(6)
=3(66)
=30=1
[ As a0=1 for all real a0]

Therefore, the simplest form of 272×93 is 1.

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