Question

simplify.
\frac{\frac{b^{7}a^{6}}{b^{5}}}{a}

Explanation:

Step1: Apply exponent quotient rule

For like bases, subtract exponents: $\frac{x^m}{x^n}=x^{m-n}$

Step2: Simplify $a$-terms

$\frac{a^6}{a^1}=a^{6-1}=a^5$

Step3: Simplify $b$-terms

$\frac{b^7}{b^5}=b^{7-5}=b^2$

Step4: Combine simplified terms

Multiply the results of Step2 and Step3

Answer:

$a^5b^2$