Math Problem Statement
Solution
I can see the worksheet you've uploaded. Let's focus on simplifying the expressions and solving the equation in the image.
1. Classification of Sets:
The sets listed here seem to refer to different categories of numbers:
- Real Numbers (a)
- Natural Numbers (b)
- Whole Numbers (c)
- Integers (d)
- Irrational Numbers (e)
2. Simplifying the Expressions:
Here are the expressions under section 3 that need simplification:
a.
We can simplify this step by step:
-
Start by simplifying the inside:
-
Now apply the power of :
Final simplified form:
Would you like help with the other expressions or solving the equation?
Here are some related questions to further your understanding:
- How do we simplify expressions with negative exponents?
- What are the properties of exponents applied to fractions?
- What is the difference between real numbers and irrational numbers?
- How do you solve exponential equations such as ?
- How does the behavior of radicals change when combined with different powers?
Tip: Always simplify the inside of an expression before applying an exponent or root. This helps to avoid errors when working with complex terms.
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Math Problem Analysis
Mathematical Concepts
Algebra
Exponents
Radicals
Equation Solving
Formulas
Exponent rules: (a^m / a^n) = a^(m-n)
Negative exponents: a^(-n) = 1 / a^n
Quadratic equation formula ax^2 + bx + c = 0
Theorems
Laws of Exponents
Exponentiation and Radical Conversion
Suitable Grade Level
Grades 9-11