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Advanced MathEasyPower of a power

Advanced Math practice question

For x ≠ 0, which expression is equivalent to (x²)⁴?

  1. A. x⁸Correct
  2. B. x⁶
  3. C. x¹⁶
  4. D. x²

Answer: A. x⁸

A power of a power multiplies exponents: 2 · 4 = 8.

Why the other answers are wrong

B. x⁶
x⁶ adds the exponents; the power-of-a-power rule multiplies them.
C. x¹⁶
x¹⁶ squares the 4 (or treats the rule as 2⁴); the product 2 · 4 is 8.
D. x²
x² ignores the outer exponent entirely.

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