Question

Hasil dari 64^5/6 + 27^2/3 - 81^3/4 adalah
tolong bantuannya kakak kakak
​

Answer 1

14

Explanation:

Given the indicinal expression 64^5/6 + 27^2/3 - 81^3/4

According to indices;

`a^(m/n) = (\sqrt[n]{a}) ^m`

Applying this to the question

`64^(5/6) \\= (\sqrt[6]{64}) ^5\\= 2^5= 32`

Similarly

`27^(2/3)\\= (\sqrt[3]{27}) ^2\\= 3^2\\= 9\\`

Also;

`81^(3/4)\\= (\sqrt[4]{81}) ^3\\= 3^3\\= 27`

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