Evaluate numerical expressions and simplify variable expressions with mixed exponential and radical terms, by using the properties of exponents.
You might need: Calculator

Problem

The following equation is true when x, is greater than, 0, y, is greater than, 0, and m is a constant.
start fraction, left parenthesis, 27, x, start superscript, 3, end superscript, y, right parenthesis, start superscript, end superscript, start superscript, start superscript, minus, start fraction, 9, divided by, 5, end fraction, end superscript, end superscript, space, dot, space, left parenthesis, 2, x, start superscript, 4, end superscript, y, start superscript, 2, end superscript, right parenthesis, start superscript, end superscript, start superscript, start superscript, minus, start fraction, 9, divided by, 5, end fraction, end superscript, end superscript, divided by, left parenthesis, 6, x, y, start superscript, 4, end superscript, right parenthesis, start superscript, end superscript, start superscript, start superscript, minus, start fraction, 9, divided by, 5, end fraction, end superscript, end superscript, end fraction, equals, left parenthesis, start fraction, 9, x, start superscript, 6, end superscript, divided by, y, end fraction, right parenthesis, start superscript, m, end superscript
What is the value of m?
m, equals
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, p, i or 2, slash, 3, space, p, i