# How do you simplify the expression (b^3 a^5)/(b^2 a^4)?

##### 1 Answer
Mar 26, 2016

$\frac{{b}^{3} {a}^{5}}{{b}^{2} {a}^{4}} = b a$

#### Explanation:

Consider the example of $\frac{1}{{x}^{3}}$ This may be written as ${x}^{- 3}$

Ok, so lets look at your question. You have as the denominator :

$\frac{1}{{b}^{2} {a}^{4}}$ this can be written as:$\text{ } {b}^{- 2} {a}^{- 4}$

Putting this together with the numerator we have

${b}^{3} {a}^{5} \times {b}^{- 2} {a}^{- 4}$

This gives us:

${b}^{3 - 2} {a}^{5 - 4} \text{ "=" } {b}^{1} {a}^{1}$

This is the same as:$\text{ } b a$