Answer:
14
Step-by-step explanation:
Given the indicinal expression 64^5/6 + 27^2/3 - 81^3/4
According to indices;
[tex]a^{m/n} = (\sqrt[n]{a}) ^m[/tex]
Applying this to the question
[tex]64^{5/6} \\= (\sqrt[6]{64}) ^5\\= 2^5= 32[/tex]
Similarly
[tex]27^{2/3}\\= (\sqrt[3]{27}) ^2\\= 3^2\\= 9\\[/tex]
Also;
[tex]81^{3/4}\\= (\sqrt[4]{81}) ^3\\= 3^3\\= 27[/tex]
Substitute inti the original equation
64^5/6 + 27^2/3 - 81^3/4
= 32 + 9- 27
= 41 - 27
= 14
Hence the required answer is 14
