Simplify (u^(3/2))^(4/5)

Problem

(u(3/2))(4/5)

Solution

1. Apply the power of a power rule, which states that (am)n=a(m⋅n)

2. Multiply the exponents by calculating the product of the two fractions.

3/2⋅4/5=12/10

3. Simplify the resulting fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2

12/10=6/5

Final Answer

(u(3/2))(4/5)=u(6/5)

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