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Simplify. Express your answer as a single term using exponents. $\newline$ $\frac{432^6}{432^7}$

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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{432^6}{432^7}

Identify base and exponents: Step $1$ : Identify the base and the exponents in the numerator and denominator. In $432^6$ , $432$ is the base raised to the exponent $6$ . In $432^7$ , $432$ is the base raised to the exponent $7$ .
Apply quotient of powers rule: Step $2$ : Apply the quotient of powers rule, which states $a^m / a^n = a^{m-n}$ . Here, calculate $432^6 / 432^7 = 432^{6-7} = 432^{-1}$ .
Rewrite using negative exponents rule: Step $3$ : Rewrite $432^{-1}$ using negative exponents rule, which states $a^{-n} = \frac{1}{a^n}$ . Thus, $432^{-1} = \frac{1}{432}$ .

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