Question

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.

Express in simplified exponential notation.

x3 • x5 =

.

Answer 1

`x^8`

Explanation:

Given the expression:
`x^3 \cdot x^5`

We are required to express it in simplified exponential notation.

We apply the addition law of indices below.

Given two expressions
`a^x$ and a^y` with same base a, then:
`a^x \cdot a^y=a^(x+y)`

Therefore:

`x^3 \cdot x^5\\=x^(3+5)\\=x^8`