Which expression is equivalent to ((6^(-5))^(-1))/(6^(5))? (1)/(6) 0 6 1

Simplify numerator: Simplify the numerator ((6^(-5))^(-1)). When we have a power to a power, we multiply the exponents. (6^(-5))^(-1) = 6^((-5) * (-1)) = 6^5Write simplified expression: Write the expression after simplifying the numerator. Now we have 6^5 in the numerator and 6^5 in the denominator. (6^5)/(6^5)Simplify expression: Simplify the expression (6^5)/(6^5). When the same base with the same exponent is divided, the result is 1. (6^5)/(6^5) = 1Compare with options: Compare the result with the given options. The simplified expression is 1, which matches one of the given options.

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Which expression is equivalent to
((6^(-5))^(-1))/(6^(5))?

(1)/(6)
0
6
1

Which expression is equivalent to $\frac{\left(6^{-5}\right)^{-1}}{6^{5}} ?$ $\newline$ $\frac{1}{6}$ $\newline$ $0$ $\newline$ $6$ $\newline$ $1$

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Algebra 1

Multiplication with rational exponents

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Q. Which expression is equivalent to

\frac{\left(6^{-5}\right)^{-1}}{6^{5}} ?

\newline

\frac{1}{6}

\newline

0

\newline

6

\newline

1

Simplify numerator: Simplify the numerator $((6^{-5})^{-1})$ . When we have a power to a power, we multiply the exponents. $(6^{-5})^{-1} = 6^{((-5) * (-1))} = 6^5$
Write simplified expression: Write the expression after simplifying the numerator. $\newline$ Now we have $6^5$ in the numerator and $6^5$ in the denominator. $\newline$ $\frac{6^5}{6^5}$
Simplify expression: Simplify the expression $(6^5)/(6^5)$ . When the same base with the same exponent is divided, the result is $1$ . $(6^5)/(6^5) = 1$
Compare with options: Compare the result with the given options. $\newline$ The simplified expression is $1$ , which matches one of the given options.