Question

How can I divide ((root of 5)x⁴) by 5x³?

Answer 1

The given expression is $\frac{\sqrt{5}{x}^4}{5x^3}$
$$\begin{gathered} =\frac{\sqrt{5}}{5}\times \frac{x^4}{x^3} \\ =\frac{\sqrt{5}}{\sqrt{5}\times \sqrt{5}}\times x^{4-3}\{\mathrm{using}\mathrm{exponent}\mathrm{law}\frac{a^m}{a^n}=a^{m-n}\} \\ =\frac{1}{\sqrt{5}}\times x \\ =\frac{x}{\sqrt{5}} \end{gathered}$$