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Simplify. Express your answer as a single term using exponents.\newline18791877\frac{187^9}{187^7}

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Full solution

Q. Simplify. Express your answer as a single term using exponents.\newline18791877\frac{187^9}{187^7}
  1. Identify Operation: Identify the operation to perform with the exponents, 99 and 77.\newlineWhen dividing powers with the same base, we subtract the exponents.\newlineam/an=a(m−n)a^m / a^n = a^{(m - n)}\newlineCalculation: 1879/1877=187(9−7)187^9 / 187^7 = 187^{(9 - 7)}
  2. Subtract Exponents: Simplify the expression by performing the subtraction.\newlineCalculation: 1879−7=1872187^{9 - 7} = 187^2
  3. Simplify Expression: Calculate 1872187^2.\newlineCalculation: 187×187=34969187 \times 187 = 34969

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