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Simplify. Express your answer as the given base raised to a single exponent.\newline(63)4(6^3)^4

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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)4(6^3)^4
  1. Recognize Structure: Step 11: Recognize the structure of the expression.\newline(63)4(6^3)^4 involves a power raised to another power.\newlineBase: 66\newlineExponents: 3,43, 4
  2. Apply Power Rule: Step 22: Apply the power of a power rule, which states (am)n=am∗n(a^m)^n = a^{m*n}.\newline(63)4=63∗4(6^3)^4 = 6^{3*4}\newline= 6126^{12}
  3. Check Simplification: Step 33: Check if the expression is simplified to a single power of the base.\newlineThe expression is now 6126^{12}, which is a single power of 66.

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