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Simplify. Express your answer as a single term using exponents. $\newline$ $\frac{767^6}{767^6}$

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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{767^6}{767^6}

Identify base and exponents: Step $1$ : Identify the base and the exponents in the numerator and denominator. In $767^6/767^6$ , both the numerator and the denominator have the base $767$ raised to the exponent $6$ .
Apply quotient rule: Step $2$ : Apply the quotient rule for exponents, which states $a^m / a^n = a^{(m-n)}$ . Here, $m$ and $n$ are both $6$ . So, $767^6 / 767^6 = 767^{(6-6)} = 767^0$ .
Recall power of $0$ : Step $3$ : Recall that any non-zero number raised to the power of $0$ is $1$ . Therefore, $767^0 = 1$ .

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