Math Problem Statement
Simplify: \( \frac{y^2}{y^{-3}} \)
Solution
Let's simplify the expression provided in the image:
Step-by-step Solution:
- Apply the law of exponents: When dividing powers with the same base, subtract the exponents.
Thus, the simplified expression is:
Would you like any further explanation or have any questions on this?
Here are some related questions you might explore:
- How do you simplify ?
- What is the result of ?
- How do the rules of exponents apply when multiplying powers?
- What happens when you raise a power to another power, e.g., ?
- How do negative exponents relate to fractions?
Tip: Always remember that a negative exponent means you take the reciprocal of the base. For example, .
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Math Problem Analysis
Mathematical Concepts
Algebra
Exponents
Laws of Exponents
Formulas
\( \frac{a^m}{a^n} = a^{m-n} \)
Theorems
Laws of Exponents
Suitable Grade Level
Grades 8-10