Math Problem Statement

(-5x3y2)(-2x4y5)

Solution

To simplify the expression (5x3y2)(2x4y5)(-5x^3y^2)(-2x^4y^5), follow these steps:

  1. Multiply the constants: (5)×(2)=10(-5) \times (-2) = 10

  2. Multiply the powers of xx: x3×x4=x3+4=x7x^3 \times x^4 = x^{3+4} = x^7

  3. Multiply the powers of yy: y2×y5=y2+5=y7y^2 \times y^5 = y^{2+5} = y^7

Now, combine everything:

10x7y710x^7y^7

The simplified expression is:

10x7y710x^7y^7

Would you like more details or have any questions?

Related Questions:

  1. How do you simplify more complex algebraic expressions?
  2. What are the laws of exponents and how do they apply to multiplication?
  3. How do you handle negative exponents in algebraic expressions?
  4. Can you show the distributive property in similar expressions?
  5. How do you multiply polynomials?

Tip:

When multiplying variables with exponents, just add the exponents if the base is the same!

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Math Problem Analysis

Mathematical Concepts

Algebra
Exponent Rules
Multiplication of Polynomials

Formulas

Product of powers: a^m * a^n = a^(m+n)
Multiplication of constants

Theorems

Laws of Exponents

Suitable Grade Level

Grades 8-10