Simplify: 27x^ (3/4) * (16xy^-2) ^ (-1/4), x and y are not equal to 0

Question

Melissa Chen

Mathematics

19 July, 05:17

Simplify: 27x^ (3/4) * (16xy^-2) ^ (-1/4), x and y are not equal to 0

+2

Answers (1)

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Seth Sherman · Answer 1

Simplifying the expression gives us:

27x^ (3/4) * (16xy^-2) ^ (-1/4)

=27x^ (3/4) * (2^4xy^-2) ^ (-1/4)

=[27x^ (3/4) * x^ (-1/4) ]*[2^ (4*-1/4) ] * (y^ (-2*-1/4))

=27x^ (1/2) * 2^-1*y^ (1/2)

=27/2x^ (1/2) y^ (1/2)

=27/2 (xy) ^ (1/2)

Answer: 27/2 (xy) ^ (1/2)