Question

Simplify: [5(8 1/3 + 27 1/3 ) 3
]
1/4

1/3,3 and 1/4 are powers

Answer 1

${(5( {8}^{ \frac{1}{3} } + {27}^{ \frac{1}{3} } )}^{ \frac{1}{4} }$
8^1/3 = 2
As ^3√8 = 2
And 27^1/3 = 3
As , 3×3×3=27
Now
${(5(2 + 3))}^{ \frac{1}{4} } \\ = {25}^{ \frac{1}{4} } \\ = {(5 \times 5)}^{ \frac{1}{4} } \\ = {5}^{ \frac{1}{4} } \times {5}^{ \frac{1}{4} } \\ = {5}^{ \frac{1}{4} + \frac{1}{4} } \\ = {5}^{ \frac{1}{2} } \\ = \sqrt{5}$
Mark it as the brainliest plz