Math Problem Statement
Simplify the expression x^7 × x^6.
Solution
The given expression is:
To solve this, you can apply the rule of exponents for multiplying terms with the same base. The rule states:
In this case:
Thus, the result is:
Would you like any further explanation or have any questions about this topic?
Here are some related questions you might find useful:
- How do you handle multiplication when the bases are different?
- What is the general rule for dividing terms with the same base and different exponents?
- How would you evaluate an expression like ?
- What happens when you multiply terms with negative exponents?
- How do you simplify expressions involving both multiplication and division of powers?
Tip: Remember that when multiplying terms with the same base, you always add the exponents.
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Math Problem Analysis
Mathematical Concepts
Algebra
Exponentiation
Laws of Exponents
Formulas
x^a × x^b = x^(a+b)
Theorems
Exponentiation Rule: Product of Powers
Suitable Grade Level
Grades 7-8