Math Problem Statement
Solution
The expression in the image is:
Let's simplify it step-by-step.
Step 1: Simplify each term individually
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First Term:
When raising a fraction to a power, each component of the fraction is raised to that power. Therefore:
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Second Term: (this one doesn't need any additional simplification)
Step 2: Multiply the Simplified Terms
Now, we have:
Combine like terms in the denominator:
- For : in the numerator and in the denominator combine as .
- For : and in the denominator combine as .
Thus, the expression becomes:
Final Answer
Would you like further details or have any questions about the steps?
Related Questions
- How would you simplify ?
- How does multiplying two expressions with exponents affect the exponents?
- What happens when you raise a fraction with negative exponents to another negative exponent?
- How can you rewrite an expression with negative exponents as a fraction with only positive exponents?
- How would you handle an expression like ?
Tip
Remember, raising an expression with an exponent in the denominator to a power often reverses the sign of the exponent due to the reciprocal.
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Math Problem Analysis
Mathematical Concepts
Algebra
Exponent Rules
Negative Exponents
Formulas
Power of a Quotient: \( \left( \frac{a}{b} \right)^n = \frac{a^n}{b^n} \)
Negative Exponent Rule: \( a^{-n} = \frac{1}{a^n} \)
Theorems
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Suitable Grade Level
Grade 10
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