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Evaluating x3x^3, 2x2^x, and 6x24x76x^2 - 4x - 7 at x=6x = 6

To evaluate these algebraic expressions given that x=6x = 6, substitute the value 66 for the variable xx and simplify the result:

  • For the expression x3x^3, substituting 66 gives 636^3, which represents 6666 \cdot 6 \cdot 6. Multiplying these values yields 216216.
  • For the expression 2x2^x, substituting 66 gives 262^6. This means multiplying 22 by itself six times, which results in 6464.
  • For the expression 6x24x76x^2 - 4x - 7, substitute 66 to get 6(6)24(6)76(6)^2 - 4(6) - 7. First, evaluate the exponent to get 6(36)4(6)76(36) - 4(6) - 7. Next, perform the multiplications from left to right, resulting in 216247216 - 24 - 7. Finally, subtract from left to right to get 1927192 - 7, which simplifies to 185185.

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Updated 2026-03-14

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