Math Problem Statement
a^{-2}\cdot a^5\cdot a^{-3}
Solution
To simplify the expression , we use the property of exponents that states:
- Combine the exponents by adding them:
- Since for any non-zero :
So, the simplified expression is .
Would you like more details on exponent rules, or have any questions?
Here are some related questions:
- How do we simplify expressions with multiple variables and exponents?
- What happens if the base equals 0?
- How does division work with exponents, such as ?
- What are fractional exponents, and how do they work?
- How can you handle negative exponents in fractions?
Tip: When multiplying terms with the same base, always add the exponents.
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Math Problem Analysis
Mathematical Concepts
Algebra
Exponents
Exponent Rules
Formulas
a^m \cdot a^n = a^{m+n}
a^0 = 1
Theorems
Exponent Addition Rule
Zero Exponent Rule
Suitable Grade Level
Grades 6-8