Question

x=3^m y=3^n. express 27^m+n/9^m in terms of x and y

Answer 1

Answer:

$x = {3}^{m} and \: y = {3}^{n} \\ {27}^{m + n} \div {9}^{m} \\ \frac{ {27}^{m} \times {27}^{n} }{ {9}^{m} } \\ = \frac{ {3}^{3m} \times {3}^{3n} }{ {3}^{2n} } \\ = \frac{ {x}^{3} \times {y}^{3} }{ {y}^{2} } \\ = {x}^{3} \times y$