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Simplify. Express your answer as the given base raised to a single exponent.\newline(63)2(6^3)^2

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Power of a power: integer basesright chevron icon

Full solution

Q. Simplify. Express your answer as the given base raised to a single exponent.\newline(63)2(6^3)^2
  1. Recognize structure: Step 11: Recognize the structure of the expression.\newline(63)2(6^3)^2 involves a base 66 raised to an exponent 33, and this result is then raised to another exponent 22.\newlineBase: 66\newlineExponents: 33, 22
  2. Apply power property: Step 22: Apply the power of a power property.\newline(63)2=6(3∗2)(6^3)^2 = 6^{(3*2)}\newline=66= 6^6
  3. Check simplification: Step 33: Check if the expression is simplified to a single exponent.\newlineThe expression is now 666^6, which is the base 66 raised to a single exponent 66.

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