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Simplify. Express your answer as a single term using exponents. \newline95829583\frac{958^2}{958^3}

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Full solution

Q. Simplify. Express your answer as a single term using exponents. \newline95829583\frac{958^2}{958^3}
  1. Identify base and exponents: Step 11: Identify the base and the exponents in the numerator and denominator. In 9582958^2, 958958 is the base raised to the exponent 22. In 9583958^3, 958958 is the base raised to the exponent 33.
  2. Apply quotient of powers property: Step 22: Apply the quotient of powers property, which states am/an=a(m−n)a^m / a^n = a^{(m-n)}. Here, calculate 9582/9583=958(2−3)958^2 / 958^3 = 958^{(2-3)}.
  3. Perform subtraction in exponent: Step 33: Perform the subtraction in the exponent, 2−3=−12 - 3 = -1. So, 9582/9583958^2 / 958^3 simplifies to 958−1958^{-1}.

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