Math Problem Statement
Simplify the expression \(\frac{3a}{3a^{-4}}\) and express the answer using positive exponents.
Solution
The problem you uploaded is the following:
Steps to simplify the expression:
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Cancel out the constants: Since 3 divided by 3 equals 1, we are left with just the variable part.
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Apply the exponent rule: When dividing exponents with the same base, subtract the exponents. This rule is: In this case:
Thus, the simplified expression is:
Would you like further details or have any questions? Here are 5 related questions:
- How do you simplify expressions with negative exponents?
- What happens if both exponents in the numerator and denominator are negative?
- How do you apply the zero exponent rule in expressions like this?
- Can you explain how the power of a power rule works in exponents?
- What are the properties of exponents that deal with multiplication and division?
Tip: When simplifying exponents, always remember to subtract the exponents in division and be mindful of negative signs!
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Math Problem Analysis
Mathematical Concepts
Algebra
Exponents
Simplifying Expressions
Formulas
Exponent rule for division: \(\frac{a^m}{a^n} = a^{m-n}\)
Theorems
Exponent subtraction rule
Suitable Grade Level
Grades 8-10