volume_mute

Simplify

publish date: 2024/01/18 16:03:46.014947 UTC

$(2x)^3$

volume_mute

Correct Answer

$8x^3$

Explanation

  • Write the base 2x as a factor 3 times
    • \((2x)^3 = 2x \cdot 2x \cdot 2x\)
  • Change the order of the factors and group like bases
    • = \((2 \cdot 2 \cdot 2) (x \cdot x \cdot x)\)
  • Write each product of repeated factors in exponential form
    • = \(2^3x^3\)
  • Evaluate: 23 = 8
    • = \(8x^3\)

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