Math Problem Statement
Rewrite the expression in the form [y^n].
[\dfrac{y^{-7}}{y^{-13}}=]
Solution
To rewrite the given expression in the form , follow the properties of exponents. Specifically, when dividing powers of the same base, subtract the exponents:
So, the expression simplifies to:
Would you like a detailed explanation or have any other questions?
Here are 5 related questions to consider:
- How do you simplify expressions with negative exponents?
- What is the rule for multiplying exponents with the same base?
- How do you simplify expressions with fractional exponents?
- How do you handle exponents when raising a power to a power?
- How do you simplify expressions involving exponents with different bases?
Tip: When dividing powers with the same base, always subtract the exponent in the denominator from the exponent in the numerator.
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Math Problem Analysis
Mathematical Concepts
Algebra
Exponentiation
Properties of Exponents
Formulas
Division of exponents: \(\frac{a^m}{a^n} = a^{m-n}\)
Theorems
Exponent rules for division
Suitable Grade Level
Grades 8-10