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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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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