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Simplify. Express your answer using positive exponents.
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Q. Simplify. Express your answer using positive exponents.
- Write Expression: Write down the given expression.We have the expression . We need to simplify this expression by dividing the coefficients and subtracting the exponents of the like bases.
- Divide Coefficients: Divide the coefficients.Since the coefficients are the same , they divide out to .
- Apply Quotient Rule: Apply the quotient rule for exponents.The quotient rule states that when dividing like bases, you subtract the exponents: .
- Express Negative Exponent: Express the negative exponent as a positive exponent.Since we want to express our answer using positive exponents, we rewrite as .
- Combine Results: Combine the results from Step and Step .Since the coefficient is , it does not change the value of the expression, so we have:
