Math Problem Statement
Solution
The problem in the image appears to be about simplifying an expression. The expression is:
You are required to simplify this expression without using negative exponents. Let's break this down step by step:
Step 1: Apply the exponent rule
For the numerator , distribute the exponent to both and :
So, the expression becomes:
Step 2: Simplify the exponents of
Now, apply the quotient rule to simplify :
So the expression is now:
Step 3: Convert negative exponent to positive
Finally, to remove the negative exponent on , write it as:
This is the simplified expression without negative exponents.
The final answer is:
Would you like further details or have any questions about this?
Here are 5 related questions:
- How do you simplify expressions with fractional exponents?
- What is the general rule for dividing terms with exponents?
- How do you simplify expressions with multiple variables?
- What happens if the base of an exponent is negative?
- How do exponent laws apply to roots and radicals?
Tip: When simplifying expressions with exponents, always apply the exponent rules carefully, step by step, and watch out for negative exponents!
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Math Problem Analysis
Mathematical Concepts
Algebra
Exponent Rules
Simplification
Formulas
Exponent Rule: (a^m)^n = a^{mn}
Quotient Rule: a^m / a^n = a^{m-n}
Theorems
Exponent Rules
Suitable Grade Level
Grades 9-11
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