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Simplify. Express your answer using positive exponents.
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Q. Simplify. Express your answer using positive exponents.
- Identify Terms and Exponents: Identify the coefficients and the like terms with exponents.We have two terms, and , which we will multiply together. Both terms have the variable raised to an exponent, so we can use the properties of exponents to combine them.
- Multiply Coefficients: Multiply the coefficients.The coefficients are the numbers in front of the variables. In this case, we have and . Multiplying them together gives us .
- Apply Product Rule: Apply the product rule for exponents. The product rule states that when multiplying two powers that have the same base, you add the exponents. Here, we have and , so we add the exponents and to get .
- Combine Results: Combine the results from Step and Step .We have the coefficient from Step and the variable with the exponent from Step . Combining these gives us the simplified expression .
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