Math Problem Statement
Solution
Let's solve the given expression step by step:
Problem:
Step 1: Simplify the fraction
Using the property of exponents :
Step 2: Multiply with
The property of exponents states that (for ). Hence:
Step 3: Check the right-hand side
The given expression simplifies to:
Conclusion:
The exponent on the right-hand side must be . Thus:
Final Answer:
The given equation is true.
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Math Problem Analysis
Mathematical Concepts
Exponentiation
Algebraic Simplification
Formulas
\(\frac{a^m}{a^n} = a^{m-n}\)
\(a^0 = 1\) (for \(a \neq 0\))
Theorems
Properties of Exponents
Suitable Grade Level
Grades 9-10
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