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Simplify. Express your answer as a single term using exponents. 569^(4)*569^(2) ◻

Simplify. Express your answer as a single term using exponents.\newline5694⋅5692 569^{4} \cdot 569^{2} \newline□\square

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Full solution

Q. Simplify. Express your answer as a single term using exponents.\newline5694⋅5692 569^{4} \cdot 569^{2} \newline□\square
  1. Apply Property of Powers: Apply the product of powers property for exponents. The product of powers property states that when you multiply two powers with the same base, you can add the exponents. So, 5694×5692569^{4}\times569^{2} can be simplified by adding the exponents 44 and 22.\newlineCalculation: 5694+2569^{4+2}
  2. Perform Exponent Addition: Perform the addition of the exponents.\newlineCalculation: 5694+2=5696569^{4+2} = 569^{6}
  3. Write Final Answer: Write the final answer as a single term using exponents.\newlineFinal Answer: 5696569^{6}

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