Math Problem Statement
$$$$ \left(13^2\right)^5\text{ }\cdot13^{-11} $$$$ $$$$ \cdotsimplified
Solution
To simplify the expression :
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Apply the power of a power property :
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Now, the expression is:
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Apply the product of powers property :
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Finally, simplify:
So, the simplified expression is .
Would you like further details, or do you have any questions?
Here are five related questions you might find helpful:
- How do you simplify expressions involving exponents?
- What are the rules for multiplying and dividing exponents with the same base?
- How do you convert a negative exponent into a fraction?
- How can you apply exponent rules in more complex algebraic expressions?
- What is the significance of zero exponents in simplifying expressions?
Tip: Always remember that a negative exponent indicates the reciprocal of the base raised to the positive exponent.
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Math Problem Analysis
Mathematical Concepts
Exponents
Formulas
Power of a power property
Product of powers property
Theorems
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Suitable Grade Level
Grades 7-9