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Algebra Difficulty 3.8 AMC 10/12 Find the answer Slovenia

We multiplied a number whose cube is equal to $2012^{12}$ by the square of $2012^{11}$ . Which number did we get?

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Solution

The number $2012^4$ was multiplied by $(2012^{11})^2$ , hence we got $2012^4 \cdot 2012^{22} = 2012^{26}$ .

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