# How do you simplify (z^5)^5 and write it using only positive exponents?

Mar 19, 2018

color(blue)((z^5)^5 = z^25

#### Explanation:

We must simplify ${\left({z}^{5}\right)}^{5}$ and write it using only positive exponents.

Let us examine the given expression containing exponents:

${\left({z}^{5}\right)}^{5}$

To simplify this expression we can use the following exponent rule:

color(green)((a^m)^n = a^(mn)

Using this rule, we can simplify the expression ${\left({z}^{5}\right)}^{5}$ as

z^(5*5

$\Rightarrow {z}^{25}$

Hence,

color(blue)((z^5)^5 = z^25

Please observe that the solution contains only positive exponents.

Hope it helps.