Math, asked by anvithakurup, 8 hours ago

Could anyone please answer this question as fast as possible and if you do solve it please do recheck your answer if it is -3 if not please let me know.

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Answers

Answered by joelpaulabraham
1

Answer:

64^(-⅓) [64^(⅓) [64^(⅓) - 64^(⅔)]] = (-12)

Step-by-step explanation:

We have,

64^(-⅓) [64^(⅓) [64^(⅓) - 64^(⅔)]]

We know that,

64^(1/3) = ³√64

= 4

64^(-1/3) = (1/³√64)

= (1/4)

64^(2/3) = (³√64)²

= (4)² = 16

Then, we can easily solve the following,

64^(-⅓) [64^(⅓) [64^(⅓) - 64^(⅔)]]

= (1/4)[4(4 - 16)

= (1/4)[4(-12)]

= (1/4)[-48]

= (-48/4)

= (-12)

Hence,

64^(-⅓) [64^(⅓) [64^(⅓) - 64^(⅔)]] = (-12)

Hope it helped you and believing you understood it...All the best

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