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Simplify. Express your answer as a single term using exponents.\newline31033103\frac{310^3}{310^3}

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Full solution

Q. Simplify. Express your answer as a single term using exponents.\newline31033103\frac{310^3}{310^3}
  1. Apply Quotient Rule: Simplify the expression by applying the quotient rule for exponents, which states am/an=a(m−n)a^m / a^n = a^{(m-n)}.\newlineCalculation: 3103/3103=310(3−3)=3100310^3 / 310^3 = 310^{(3-3)} = 310^0
  2. Evaluate 3100310^0: Evaluate 3100310^0.\newlineSince any non-zero number raised to the power of zero is 11, 3100=1310^0 = 1.

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