Simplify \(\left(c^2d^3\right) \left(c^4d^5\right)\)

Explanation

• Use the commutative and associative properties of multiplication to group like bases together.
  • \(\left(c^2d^3\right) \left(c^4d^5\right) = \left(c^2c^4\right)\left(d^3d^5\right)\)
• Keep the common base, c, and add the exponents.  Keep the common base, d and add the exponents
  • = \(\left(c^{2+4}\right)\left(d^{3+5}\right)\)
  • = \(c^6d^8\)