Evaluate 121^(3/2)

Problem

121(3/2)

Solution

1. Rewrite the expression using the property of rational exponents a(m/n)=(√(n,a))m

121(3/2)=(√(,121))3

2. Evaluate the square root of 121

√(,121)=11

3. Substitute the result back into the expression.

11

4. Calculate the cube of 11 by multiplying 11×11×11

11×11=121

121×11=1331

Final Answer

121(3/2)=1331

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