(5a%5E4).jpeg "(2a^3)(5a^4)")
Simplifying (2a^3)(5a^4)
In mathematics, simplifying expressions often involves combining like terms and applying the rules of exponents. Let's break down the simplification of (2a^3)(5a^4).
Understanding the Basics
- Coefficients: These are the numerical parts of the terms (2 and 5 in this case).
- Variables: These are the letters representing unknown values (a in this case).
- Exponents: These indicate how many times a variable is multiplied by itself (3 and 4 in this case).
Simplifying the Expression
- Multiply the coefficients: 2 * 5 = 10
- Multiply the variables: a^3 * a^4 = a^(3+4) = a^7
- Combine the results: 10a^7
Final Result
Therefore, the simplified form of (2a^3)(5a^4) is 10a^7.
Key Takeaways
- Product of powers rule: When multiplying powers with the same base, add the exponents.
- Order of operations: Multiplication is performed before addition.
- Simplify: Always aim to express the final answer in its simplest form.