Evaluate 144^(3/2)

Problem

144^(3/2)

Solution

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

144^(3/2)=(√(,144))^3

2. Evaluate the square root of the base.

√(,144)=12

3. Substitute the result back into the expression.

12^3

4. Calculate the cube of the number by multiplying 12×12×12

12×12=144

144×12=1728

Final Answer

144^(3/2)=1728

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