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Simplify. Express your answer as a single term using exponents. $\newline$ $\frac{517^7}{517^7}$

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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{517^7}{517^7}

Identify base and exponents: Identify the base and the exponents in the numerator and denominator. In $\frac{517^7}{517^7}$ , both the numerator and the denominator have the base $517$ raised to the exponent $7$ .
Apply property of exponents: Apply the property of exponents that states $a^m / a^n = a^{(m-n)}$ . Here, $m$ and $n$ are both $7$ . So, $517^7 / 517^7 = 517^{(7-7)}$ .
Calculate exponent subtraction: Calculate the exponent subtraction: $7 - 7 = 0$ . Therefore, $517^7 / 517^7$ simplifies to $517^0$ .
Recall exponent rule: Recall the exponent rule that any non-zero number raised to the power of $0$ is $1$ . Thus, $517^0 = 1$ .

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