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(-3ab)(-3ab^2)(-3a^2b^2)

less than a minute read Jun 16, 2024
(-3ab)(-3ab^2)(-3a^2b^2)

Simplifying the Expression (-3ab)(-3ab^2)(-3a^2b^2)

This expression involves multiplying three monomials together. To simplify, we'll use the following properties of exponents:

  • Product of powers: x^m * x^n = x^(m+n)
  • Commutative property of multiplication: a * b = b * a

Here's how we can simplify the expression:

  1. Group the numerical coefficients: (-3) * (-3) * (-3) = -27

  2. Group the 'a' terms: a * a * a^2 = a^(1+1+2) = a^4

  3. Group the 'b' terms: b * b^2 * b^2 = b^(1+2+2) = b^5

  4. Combine the results: -27 * a^4 * b^5 = -27a^4b^5

Therefore, the simplified form of the expression (-3ab)(-3ab^2)(-3a^2b^2) is -27a^4b^5.

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