10/3 (K/L) ^1/3 / 5K^ (1/3) L-1/3

Question

Jayvon Flynn

Mathematics

22 April, 22:09

10/3 (K/L) ^1/3 / 5K^ (1/3) L-1/3

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Answers (1)

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Brett Hawkins · Answer 1

10/3 (K / L) ^ 1/3 / 5K ^ (1/3) L-1/3

Let's rewrite the expression shown:

10/3 ((K ^ 1/3) / (L ^ 1/3)) / 5K ^ (1/3) L-1/3

10/3 ((K ^ 1/3) / (L ^ 1/3)) / (5 (K ^ (1/3)) / (L ^ 1/3))

By power properties:

10/3 (K ^ (1/3 - 1/3) / L ^ (1/3 - 1/3)) / 5

(10/3) * (1/5)

(10/15)

Simplifying:

2/3

Answer:

The simplified expression is:

2/3