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Simplify. Express your answer as the given base raised to a single exponent.\newline(82)4(8^2)^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(82)4(8^2)^4
  1. Recognize structure: Step 11: Recognize the structure of the expression.\newline(82)4(8^2)^4 involves two levels of exponents.\newlineBase: 88\newlineExponents: 2,42, 4
  2. Apply power property: Step 22: Apply the power of a power property.\newline(82)4=8(2∗4)(8^2)^4 = 8^{(2*4)}\newline=88= 8^8
  3. Check calculation: Step 33: Check the calculation. 22 multiplied by 44 is indeed 88, so 888^8 is the correct simplification.

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