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Simplify. Express your answer using positive exponents.
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Algebra 1
Simplify exponential expressions using the multiplication and division rules
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Q. Simplify. Express your answer using positive exponents.
- Write Expression & Identify Like Terms: Write down the given expression and identify like terms.The given expression is . We can see that there are like terms in the numerator and the denominator that can be simplified.
- Simplify by Canceling Common Factors: Simplify the expression by canceling out common factors. The in the numerator and the in the denominator can be canceled out because they are common factors. Also, we can simplify the powers of by subtracting the exponents in the denominator from the exponent in the numerator.
- Apply Quotient Rule for Exponents: Apply the quotient rule for exponents. The quotient rule states that when dividing like bases, you subtract the exponents. In this case, we have divided by (since ).
- Write Final Simplified Expression: Write the final simplified expression.After canceling out the common factors and applying the quotient rule for exponents, we are left with:
