Math Problem Statement

a3*a3

Solution

The expression a3×a3a^3 \times a^3 can be simplified using the properties of exponents.

When multiplying powers with the same base, you add the exponents:

a3×a3=a3+3=a6a^3 \times a^3 = a^{3+3} = a^6

So, the simplified result is a6a^6.

Would you like more details on this rule, or do you have any other questions?

Here are some related questions to explore:

  1. What is the rule for dividing powers with the same base?
  2. How do you simplify expressions involving negative exponents?
  3. What is the rule for raising a power to another power?
  4. How do you multiply terms with different bases and exponents?
  5. Can you simplify expressions like (a2×b3)(a^2 \times b^3)?

Tip: Remember, when multiplying exponents with the same base, you always add the exponents!

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Math Problem Analysis

Mathematical Concepts

Exponents
Laws of Exponents

Formulas

a^m * a^n = a^(m+n)

Theorems

Product of Powers Property

Suitable Grade Level

Grades 6-8