Question

Simplify [5(8 raised to power 1/3+27 raised to power 1/3) raised to power 3] whole raised to power 1/4

Answer 1

Hi ,

[ 5( 8^1/3 + 27^1/3 )³ ]^1/4

= { 5 [( 2³ )^1/3 + ( 3³ )^1/3 ]³ }^1/4

= { 5 [ 2^3/3 + 3^3/3 ]³ }^1/4

= { 5 [ 2 + 3 ]³ }^1/4

= [ 5 × 5³ ]^1/4

= ( 5⁴ )^1/4

= 5^4/4

= 5

I hope this helps you.

: )

Answer 2

Hi,

Please see the attached file!

Thanks