Question

simplify. rewrite the expression in the form $6^n$. \\(\dfrac{6^{-6}}{6^{-5}} = \\) \boxed{-\times \\\\ + =}

Explanation:

Step1: Apply exponent quotient rule

For same bases, subtract exponents: $\frac{a^m}{a^n}=a^{m-n}$
$\frac{6^{-6}}{6^{-5}}=6^{-6 - (-5)}$

Step2: Simplify the exponent

Calculate the exponent value: $-6 - (-5) = -6 + 5 = -1$

Answer:

$6^{-1}$