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Simplify. Express your answer as a single term using exponents.\newline89348933\frac{893^4}{893^3}

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Q. Simplify. Express your answer as a single term using exponents.\newline89348933\frac{893^4}{893^3}
  1. Identify base and exponents: Identify the base and the exponents in the numerator and denominator. In 8934893^4, 893893 is the base raised to the exponent 44. In 8933893^3, 893893 is the base raised to the exponent 33.
  2. Apply quotient of powers property: Apply the quotient of powers property, which states am/an=a(mn)a^m / a^n = a^{(m-n)}. Here, calculate 8934/8933=893(43)893^4 / 893^3 = 893^{(4-3)}.
  3. Perform exponent subtraction: Perform the subtraction in the exponent: 89343=8931893^{4-3} = 893^1.
  4. Simplify final result: Simplify 8931893^1 to 893893, since any number raised to the power of 11 is the number itself.

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