[5(8^1/3 + 27^1/3)]^1/4
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Answered by
6
Step-by-step explanation:
Given [5(8⅓ + 27⅓)³]¼
= {5[(2³)⅓+(3³)⅓]³}¼
\boxed {(a^{m})^{n} = a^{mn}}
(a
m
)
n
=a
mn
= [5(2+3)³]¼
= [5×5³]¼
\boxed { a^{m} \times a^{n} = a^{m+n}}
a
m
×a
n
=a
m+n
= [5⁴]¼
=5
Therefore,
[5(8⅓ + 27⅓)³]¼ = 5
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2
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