# How do you simplify #sqrt(z^3)sqrt(z^7)#?

##### 1 Answer

Jul 12, 2016

We use the properties of powers to find

#### Explanation:

We need to write the powers of the factors in a single number so that we can add them. We start by noting that a square root is just a power of

Now we use the property that raising a power to another power multiplies the exponents:

Then we use the property that multiplying powers with the same base adds the exponents: