Question

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

Answer 1

Answer:

14

Step-by-step 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