Question

(m^-4/3)^1/4 divided by m^0 n^3/4(m^-3/2 n^2)

Answer 1

`\frac{(m^{-(4)/(3)})^{(1)/(4)}}{m^(0)(m^{-(3)/(2)}n^(2))} = \frac{m^{-(1)/(3)}}{m^{-(3)/(2)}n^(2)} = \frac{m^{(3)/(2)}}{m^{(1)/(3)}n^(2)} = \frac{m^{(7)/(6)}}{n^(2)} = \frac{\sqrt[6]{m^(7)}}{n^(2)} = \frac{\sqrt[6]{m^(6) * m}}{n^(2)} = \frac{\sqrt[6]{m^(6)}\sqrt[6]{m}}{n^(2)} = \frac{m\sqrt[6]{m}}{n^(2)}`