Evaluate 14412-1/312^3

Problem

144⋅12−1/3⋅12

Solution

1. Identify the components of the expression, noting that 144 is equivalent to 12

2. Rewrite the first term using powers of 12 to simplify the calculation.

144⋅12=12⋅12=12

3. Substitute this back into the original expression.

12−1/3⋅12

4. Factor out the common term 12 from the expression.

(1−1/3)⋅12

5. Simplify the coefficient inside the parentheses.

2/3⋅12

6. Calculate the value of 12

12=1728

7. Multiply the result by the fraction.

2/3⋅1728=2⋅576=1152

Final Answer

144⋅12−1/3⋅12=1152

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