(4a%5E6).jpeg "(3a^2)(4a^6)")
Simplifying (3a^2)(4a^6)
In mathematics, simplifying expressions often involves combining like terms and applying the rules of exponents. Let's break down the simplification of the expression (3a^2)(4a^6).
Understanding the Rules
- Multiplication of Coefficients: When multiplying terms with coefficients, we simply multiply the numerical values. In this case, 3 * 4 = 12.
- Product of Powers Rule: When multiplying powers with the same base, we add the exponents. In this case, a^2 * a^6 = a^(2+6) = a^8.
Applying the Rules
- Multiply the coefficients: 3 * 4 = 12
- Multiply the variables: a^2 * a^6 = a^8
Final Result
Therefore, the simplified form of (3a^2)(4a^6) is 12a^8.