Math Problem Statement

Use multiplication to fully expand the expression below. a, to the power 5 , b, squared, c, to the power 5 a 5 b 2 c 5

Solution

To expand the expression a5b2c5a^5 b^2 c^5, multiplication isn't necessary since the expression is already in its expanded form. However, the multiplication structure is as follows:

a5b2c5a^5 \cdot b^2 \cdot c^5

This is the full expanded expression, and it cannot be simplified any further unless specific values for aa, bb, and cc are provided.

Would you like more details, or do you have any questions?

Here are 5 relative questions based on this topic:

  1. How do we simplify expressions involving exponents when multiplying terms?
  2. What are the rules for multiplying terms with the same base and different exponents?
  3. How do we expand products of binomials?
  4. What happens when we multiply powers with different bases but the same exponent?
  5. How can we simplify expressions involving negative exponents?

Tip: When multiplying terms with the same base, add their exponents (e.g., am×an=am+na^m \times a^n = a^{m+n}).

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Math Problem Analysis

Mathematical Concepts

Exponents
Algebra
Multiplication of Powers

Formulas

a^m * a^n = a^(m+n)
Multiplication of terms with exponents

Theorems

Properties of Exponents

Suitable Grade Level

Grades 9-11