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Simplify. Express your answer as a single term using exponents.\newline91339137\frac{913^3}{913^7}

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Multiply and divide powers: variable basesright chevron icon

Full solution

Q. Simplify. Express your answer as a single term using exponents.\newline91339137\frac{913^3}{913^7}
  1. Apply Quotient Rule: Step 11: Apply the quotient rule for exponents, which states am/an=a(m−n)a^m / a^n = a^{(m-n)}.\newlineCalculation: 9133/9137=913(3−7)=913−4913^3 / 913^7 = 913^{(3-7)} = 913^{-4}
  2. Calculate Exponent: Step 22: Express the answer as a single term using exponents.\newlineCalculation: The result from Step 11 is already in the form of a single term with an exponent, 913−4913^{-4}.

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