# How do you simplify (9x^5y^4)(3xy^5)^4 leaving only positive exponents?

Apr 19, 2018

$729 {x}^{9} {y}^{24}$

#### Explanation:

$\left(9 {x}^{5} {y}^{4}\right) \textcolor{b l u e}{{\left(3 x {y}^{5}\right)}^{4}}$

First remove the brackets.

Raise all the factors in the second bracket to the power of $4$

$= 9 {x}^{5} {y}^{4} \times \textcolor{b l u e}{81 {x}^{4} {y}^{20}}$

Now simplify:
multiply the numbers and add the indices of like bases

$= 9 \times 81 \text{ " x^(5+4) " } {y}^{4 + 20}$

$= 729 {x}^{9} {y}^{24}$