Math Problem Statement
Simplify \( \frac{x^{-6}}{x^{-7}} \)
Solution
Let's simplify the given expression:
Step-by-step Solution:
-
Use the rule of exponents for division: Apply this rule to the expression:
-
Simplify the exponent:
-
Therefore, the simplified result is:
Final Answer:
Would you like further explanation or examples? 😊
Here are 5 related questions to deepen understanding:
- How do you simplify ?
- What happens when you simplify ?
- How would the rule change if the base was instead of ?
- Can you explain why in exponent rules?
- How do you simplify ?
Tip: Always remember that when dividing exponents with the same base, subtract the powers ().
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Exponent Rules
Simplifying Algebraic Expressions
Formulas
\( \frac{a^m}{a^n} = a^{m-n} \)
Theorems
Properties of Exponents
Suitable Grade Level
Grades 8-10