Math Problem Statement
r^8s^-5t^0/r^0s^-5t^6
Solution
To simplify the expression:
Step-by-step solution:
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Simplify : Since , we can eliminate from the numerator:
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Simplify each variable by subtracting exponents:
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For , subtract the exponents:
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For , subtract the exponents: So, cancels out entirely.
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For , since there is no in the numerator, just keep in the denominator:
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Final simplified expression:
Would you like more details on any of these steps?
Here are 5 related questions:
- How do you handle terms like and in expressions?
- What happens when both numerator and denominator have the same exponent for a variable?
- How would you simplify ?
- What happens when the exponents cancel out for a variable, like ?
- Can you simplify expressions like ?
Tip: When you encounter in an expression, remember it always equals 1 as long as .
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Math Problem Analysis
Mathematical Concepts
Algebra
Exponents
Simplifying Rational Expressions
Formulas
Exponent rule: a^m / a^n = a^(m-n)
Zero exponent rule: a^0 = 1
Theorems
Properties of Exponents
Simplification of Rational Expressions
Suitable Grade Level
Grades 8-10
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