# How do you simplify 15^4/15 and write it using only positive exponents?

Jun 14, 2017

It is ${15}^{3}$ or 3375

#### Explanation:

You can write your equation as

$= \frac{{15}^{3} \times 15}{15}$

15 in numerator and in denumerator is cancelled out: Hence,

$= {15}^{3}$

${15}^{3}$

or

$= 3375$

Jun 14, 2017

See a solution process below:

#### Explanation:

We can use these two rules of exponents to simplify this expression:

$a = {a}^{\textcolor{red}{1}}$ and ${x}^{\textcolor{red}{a}} / {x}^{\textcolor{b l u e}{b}} = {x}^{\textcolor{red}{a} - \textcolor{b l u e}{b}}$

${15}^{4} / 15 \implies {15}^{\textcolor{red}{4}} / {15}^{\textcolor{b l u e}{1}} \implies {15}^{\textcolor{red}{4} - \textcolor{b l u e}{1}} \implies {15}^{3}$

We can get the result of this expression by:

${15}^{3} \implies 15 \cdot 15 \cdot 15 \implies 225 \cdot 15 \implies 3375$