Question

A^3b^2 divided by a^-1b^-3

Answer 1

Answer:

$\frac{a^3 b^2}{\frac{1}{a} \frac{1}{b^3}}$

And simplifying we got:

$a^3 b^2 a b^3$

$a^3 a b^2 b^3 = a^{3+1} b^{2+3} = a^4 b^5$

Step-by-step explanation:

We want to simplify the following expression:

$\frac{a^3 b^2}{a^{-1} b^{-3}}$

And we can rewrite this expression using this property for any number a:

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

And using this property we have:

$\frac{a^3 b^2}{\frac{1}{a} \frac{1}{b^3}}$

And simplifying we got:

$a^3 b^2 a b^3$

$a^3 a b^2 b^3 = a^{3+1} b^{2+3} = a^4 b^5$