Simplify u^(3/2)u^(2/7)

Problem

u(3/2)*u(2/7)

Solution

1. Identify the rule for multiplying powers with the same base, which states that am*an=a(m+n)

2. Add the exponents by finding a common denominator for the fractions 3/2 and 2/7

3. Find the least common denominator, which is 14

4. Convert the fractions to have the common denominator: 3/2=21/14 and 2/7=4/14

5. Sum the numerators over the common denominator: 21/14+4/14=25/14

Final Answer

u(3/2)*u(2/7)=u(25/14)

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