Question

How yo simplify (b2/3 x b5/3 x t1/5 x t3/4)?

Answer 1

`\bf a^{( n)/( m)} \implies \sqrt[ m]{a^ n} \qquad \qquad \sqrt[ m]{a^ n}\implies a^{( n)/( m)}\\\\ -------------------------------\\\\`


`\bf b^{(2)/(3)}\cdot b^{(5)/(3)}\cdot t^{(1)/(5)}\cdot t^{(3)/(5)}\implies b^{(2)/(3)+(5)/(3)}\cdot t^{(1)/(5)+(3)/(5)}\implies b^{(7)/(3)}t^{(4)/(5)}\implies \sqrt[3]{b^7}\cdot \sqrt[5]{t^4} \\\\\\ \sqrt[3]{b^(1+3+3)}\cdot \sqrt[5]{t^4}\implies \sqrt[3]{b^1b^3b^3}\cdot \sqrt[5]{t^4}\implies bb\sqrt[3]{b}\cdot \sqrt[5]{t^4}\implies b^2\sqrt[3]{b}\cdot \sqrt[5]{t^4}`