Math Problem Statement
Simplify: p * p^(-8). Express your answer as a single term, without a denominator.
Solution
The expression in the image is:
To simplify this, we can use the property of exponents:
Here, the base is , and the exponents are (since ) and .
Applying the exponent rule:
Thus, the simplified expression is:
This is the final answer, expressed as a single term without a denominator.
Would you like further details or have any questions? Here are some related questions you might find helpful:
- What are the rules for multiplying powers with the same base?
- How can negative exponents be interpreted?
- What is the general rule for simplifying expressions with exponents?
- How would you handle a problem involving division of powers with the same base?
- What is the difference between multiplying and dividing terms with exponents?
Tip: When simplifying exponent expressions, always combine the exponents first when the bases are the same.
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Math Problem Analysis
Mathematical Concepts
Exponent Rules
Algebra
Formulas
a^m * a^n = a^(m+n)
Theorems
Exponentiation Theorem
Suitable Grade Level
Grades 6-9