Question

How to solve 8 to the power of five thirds

Answer 1

`8^(5)/(3)=8^{1(2)/(3)}=8^{1+(2)/(3)}=8\cdot8^(2)/(3)=8\sqrt[3]{8^2}=8\sqrt[3]{64}=8\cdot4=32\\\\Used:\\\\a^n\cdot a^m=a^(n+m)\\\\a^(m)/(n)=\sqrt[n]{a^m}\\---------------------------------\\Other\ method\\\\8=2^3\\\\8^(5)/(3)=(2^3)^(5)/(3)=2^{3\cdot(5)/(3)}=2^5=32\\\\Used:\\\\(a^n)^m=a^(n\cdot m)`