Question

simplify.
\frac{a^{6}b^{4}}{a^{6}b^{5}}

Explanation:

Step1: Use exponent - division rule

According to the rule $\frac{x^m}{x^n}=x^{m - n}$, for the $a$ terms: $\frac{a^6}{a^6}=a^{6 - 6}$, and for the $b$ terms: $\frac{b^4}{b^5}=b^{4 - 5}$.

Step2: Calculate exponents

$a^{6 - 6}=a^0 = 1$ (any non - zero number to the power of 0 is 1), and $b^{4 - 5}=b^{-1}=\frac{1}{b}$.

Step3: Multiply the results

$1\times\frac{1}{b}=\frac{1}{b}$.

Answer:

$\frac{1}{b}$