Math Problem Statement
(5/3)^-2
Solution
The image shows the expression:
To solve this, we follow these steps:
- The negative exponent rule states that .
- Apply this rule to the expression:
- Now, square the fraction:
- So the expression becomes:
Thus, the value of .
Would you like more details or clarification on any part of this process?
Here are five related questions:
- How do you simplify expressions with negative exponents?
- What happens when both the numerator and denominator of a fraction have negative exponents?
- How can you verify your answer when simplifying fractions with exponents?
- What are some applications of exponent rules in real-world problems?
- How do exponents impact the behavior of functions?
Tip: Always check if a fraction can be simplified after applying exponent rules!
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Math Problem Analysis
Mathematical Concepts
Exponents
Fractions
Formulas
a^(-n) = 1/a^n
(a/b)^n = a^n / b^n
Theorems
Exponent rules
Suitable Grade Level
Grades 7-9