Question

by what number should (-5/11)^-3 be multiplied to get (-11/5)^6?​

Answer 1

Answer:

Let the number be 'x'

${ \frac{ - 5}{11} }^{ - 3} \times x = { \frac{ - 11}{5} }^{6} \\ { \frac{ - 11}{5} }^{3} x = { \frac{ - 11}{5} }^{6} \\ x = { \frac{ - 11}{5} }^{6} \div { \frac{ - 11}{5} }^{3} \\ x = { \frac{ - 11}{5} }^{(6 - 3)} \\ x = { \frac{ - 11}{5} }^{3}$