Question

{5 ( 83 ^1/3 + 27^1/3 )^3 } ^1/4

Solve this equation​

Answer 1

refer the attachment......

Answer 2

Given [5(8⅓ + 27⅓)³]¼

= {5[(2³)⅓+(3³)⅓]³}¼\boxed {(a^{m})^{n}

= a^{mn}}

= [5(2+3)³]¼

= [5×5³]¼\boxed { a^{m} \times a^{n}

= a^{m+n}}

= [5⁴]¼=5

Therefore,[5(8⅓ + 27⅓)³]¼ = 5