%5E2*-2ab%5E5.jpeg "(-6a^4b^3)^2*-2ab^5")
Simplifying the Expression (-6a^4b^3)^2 * -2ab^5
This expression involves simplifying exponents and multiplying terms with coefficients and variables. Let's break it down step by step:
Step 1: Simplifying (-6a^4b^3)^2
- Squaring the coefficient: (-6)^2 = 36
- Squaring the variables: (a^4)^2 = a^(42) = a^8 and (b^3)^2 = b^(32) = b^6
- Combining the results: (-6a^4b^3)^2 = 36a^8b^6
Step 2: Multiplying the simplified terms
- Multiplying the coefficients: 36 * -2 = -72
- Multiplying the variables: a^8 * a = a^(8+1) = a^9 and b^6 * b^5 = b^(6+5) = b^11
- Combining the results: 36a^8b^6 * -2ab^5 = -72a^9b^11
Final Result
Therefore, the simplified form of (-6a^4b^3)^2 * -2ab^5 is -72a^9b^11.