Question

已知5^a=5,5^b=5^-1,试求27^a/3^3b的值.

Answer 1

∵5^a=5

∴a=1

∵5^b=5^(-1)

∴b=-1

∴27^a/3^(3b)

=(3^3)^a/3^(3b)

=3^(3a)/3^(3b)

=3^(3a-3b)

=3^[3(a-b)]

=3^(3×2)

=3^6

=729

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