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nataly862011 [7]
3 years ago
11

Find the value of x

Mathematics
1 answer:
allsm [11]3 years ago
4 0
hope this helps! feel free to clarify

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

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

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