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Simplify. Express your answer as a single term using exponents. $\newline$ $\frac{766^6}{766^9}$

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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{766^6}{766^9}

Identify base and exponents: Step $1$ : Identify the base and the exponents in the numerator and denominator. In $766^6$ , $766$ is the base raised to the exponent $6$ . In $766^9$ , $766$ is the base raised to the exponent $9$ .
Apply quotient of powers: Step $2$ : Apply the quotient of powers property, which states $a^m / a^n = a^{(m-n)}$ . Calculate $766^6 / 766^9 = 766^{(6-9)}$ .
Perform subtraction in exponent: Step $3$ : Perform the subtraction in the exponent, $6 - 9 = -3$ . So, $766^6 / 766^9 = 766^{-3}$ .

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