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Simplify. Express your answer as a single term using exponents. $\newline$ $\frac{571^4}{571^7}$

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Evaluate expressions using properties of exponents

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Q. Simplify. Express your answer as a single term using exponents.

\newline

\frac{571^4}{571^7}

Identify base and exponents: Step $1$ : Identify the base and the exponents in the numerator and denominator. In $571^4$ , $571$ is the base raised to the exponent $4$ . In $571^7$ , $571$ is the base raised to the exponent $7$ .
Apply quotient of powers property: Step $2$ : Apply the quotient of powers property, which states $a^m / a^n = a^{(m-n)}$ . Here, calculate $571^4 / 571^7 = 571^{(4-7)}$ .
Perform subtraction in exponent: Step $3$ : Perform the subtraction in the exponent, $4 - 7 = -3$ . So, $571^4 / 571^7 = 571^{-3}$ .
Write final answer: Step $4$ : Write the final answer using the negative exponent notation, which indicates the reciprocal of the base raised to the positive exponent. Thus, $571^{-3}$ is the simplified form.

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