noedug
noedug noedug
  • 20-04-2021
  • Mathematics
contestada

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

Respuesta :

abidemiokin
abidemiokin abidemiokin
  • 26-04-2021

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

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