Simplify Algebraic Expressions
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Questions and Answers

Which of the following is the correct way to simplify the algebraic expression $x^3 \cdot y^3$?

  • $x^3y^3$ (correct)
  • $xy^{6}$
  • $x^{6y}$
  • $x^{3y^3}$
  • What is the simplified form of the expression $(2x^2)^3 \cdot (3y^2)^3$?

  • $6x^6y^6$
  • $8x^6y^3$
  • $8x^6y^6$ (correct)
  • $6x^6y^3$
  • Which of the following is equivalent to $a^3 \cdot b^3 \cdot c^3 \cdot d^3$?

  • $(abcd)^3$ (correct)
  • $a^3b^3c^3d^3$
  • $a^{3+b+c+d}$
  • $a^{12}b^{12}c^{12}d^{12}$
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