(-3x^2y^7)(5xy^6)

Jasonbradley

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Jun 16, 2024

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Simplifying Expressions with Exponents

In algebra, simplifying expressions involving exponents often involves applying the rules of exponents. One of these rules states that when multiplying terms with the same base, you add the exponents.

Let's take a look at the expression: (-3x^2y^7)(5xy^6)

Here's how to simplify it:

1. Identify the coefficients: The coefficients are the numerical factors, which are -3 and 5.
2. Identify the variables: The variables are x and y.
3. Apply the product of powers rule:
   • For x: x^2 * x = x^(2+1) = x^3
   • For y: y^7 * y^6 = y^(7+6) = y^13
4. Multiply the coefficients and variables together: (-3 * 5) * x^3 * y^13

Therefore, the simplified expression is -15x^3y^13