Answer:
[tex]\frac{b^{4} }{a}[/tex]
Step-by-step explanation:
[tex]\frac{a^{3}b^{5} }{a^{4}b }[/tex] is the equation we need to simplify. In order to do this, we must remember what these exponents mean.
[tex]\frac{a^{3}b^{5} }{a^{4}b }[/tex] = [tex]\frac{aaabbbbb}{aaaab}[/tex]
Now, we see that we can divide and cancel.
[tex]\frac{aaabbbbb}{aaaab}[/tex] = [tex]\frac{bbbb}{a}[/tex] = [tex]\frac{b^{4} }{a}[/tex]
Another way we can solve this is by knowing that exponents in the denominator become negative when we move them to the numerator:
[tex]\frac{a^{3}b^{5} }{a^{4}b }[/tex] = [tex]a^{3}b^{5}a^{-4}b^{-1}[/tex] = [tex]a^{-1}b^{4}[/tex] = [tex]\frac{b^4}{a}[/tex]
