Question

How is the process of this operation?
`\frac{ \sqrt[6]{z+5} }{ √(z+5) }`

Answer 1

`a^(n)/(m)=\sqrt[m]{a^n}\\---------------\\\\ \frac{ \sqrt[6]{z+5} }{ √(z+5) } =(z+5)^(1)/(6):(z+5)^(1)/(2)\\\\/use:a^n\cdot a^m=a^(n+m)/\\\\=(z+5)^{(1)/(6)+(1)/(2)}=(z+5)^{(1)/(6)+(3)/(6)}=(z+5)^(4)/(6)=(z+5)^(2)/(3)\\\\=\sqrt[3]{(z+5)^2}=\sqrt[3]{z^2+2z\cdot5+5^2}=\sqrt[3]{z^2+10z+25}`