# How do you simplify z^10*z^3 and write it using only positive exponents?

Sep 19, 2016

${z}^{13}$

#### Explanation:

Use this exponent rule:

${x}^{a} \cdot {x}^{b} = {x}^{a + b}$

The base $x$ has to be the same. Then just add the exponents.

${z}^{10} \cdot {z}^{3} = {z}^{10 + 3} = {z}^{13}$