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# Roots: Basic Rules - Raising a Root to a Power

Which of the following has the same value as $$6^6$$?
Correct. [[Snippet]] Notice that $$36^3 = (6^2)^3 = 6^{2 \cdot 3} = 6^6$$. Hence, this is the correct answer.
Incorrect. [[Snippet]] Notice that $$36^2 = (6^2)^2 = 6^{2 \cdot 2} = 6^4$$. Hence, eliminate this answer choice.
Incorrect. [[Snippet]] Notice that $$18^2 = (3 \cdot 6)^2 = 9 \cdot 6^2$$. Hence, eliminate this answer choice.
Incorrect. [[Snippet]] Notice that $$12^3 = (2 \cdot 6)^3 = 8 \cdot 6^3$$. Hence, eliminate this answer choice.
Incorrect. [[Snippet]] Notice that $$36=6^2$$. Hence, eliminate this answer choice.
$$36$$
$$12^3$$
$$18^2$$
$$36^2$$
$$36^3$$