Question

quotient of powers
score: 3/6 answered: 3/6
question 4
simplify completely.
$\frac{32a^{6}b^{9}}{4a^{3}b^{4}}$ =

Explanation:

Step1: Simplify coefficient

$\frac{32}{4} = 8$

Step2: Simplify $a$-terms

$\frac{a^6}{a^3} = a^{6-3}=a^3$

Step3: Simplify $b$-terms

$\frac{b^9}{b^4} = b^{9-4}=b^5$

Step4: Combine all parts

Multiply the simplified coefficient and variables.
$8 \times a^3 \times b^5$

Answer:

$8a^3b^5$