# What are the properties of exponents?

## What are the properties of exponents?

Properties of exponents. In earlier chapters we introduced powers. There are a couple of operations you can do on powers and we will introduce them now. We can multiply powers with the same base This is an example of the product of powers property tells us that when you multiply powers with the same base you just have to add the exponents.

## Is there a board game to practice properties of exponents?

This properties of exponents board game is all ready to print and go. The blog post that accompanies this download details all of the steps and the rules for playing the game. Many students love to practice like this because it feels like they’re playing a game, but at the same time they’re getting better at simplifying properties of exponents.

**What are negative exponents?**

Negative exponents are the reciprocals of the positive exponents. The same properties of exponents apply for both positive and negative exponents. In earlier chapters we talked about the square root as well.

**What are the 5 laws of exponents?**

Laws (Properties or Rules) of Exponents 1 Law of Product: a m × a n = a m+n 2 Law of Quotient: a m /a n = a m-n 3 Law of Zero Exponent: a 0 = 1 4 Law of Negative Exponent: a -m = 1/a m 5 Law of Power of a Power: (a m) n = a mn 6 Law of Power of a Product: (ab) m = a m b m 7 Law of Power of a Quotient: (a/b) m = a m /b m

### How do you find the product property of exponents?

This leads to the Product Property for Exponents. To multiply with like bases, add the exponents. Simplify each expression: 2a7 · 3a. Use the Product Property, a m · a n = a m + n. Simplify. Use the Product Property, a m · a n = a m + n. Simplify. Rewrite, a = a 1. use the Product Property, a m · a n = a m + n. Simplify.

### How do you multiply exponents in a cheat sheet?

Properties of Exponents Cheat Sheet Multiplication Property: Add exponents if bases are the same EX w/ numbers: 33 · 35 = EX w/ variables: x2 · x10 = EX w/ num. and variables: 2×2 y · 4×3 y5 = Power Property: Multiply exponents when they are inside and outside parenthesis EX w/ numbers: (53)4 = EX w/ variables: (y3)11 = EX w/ num. and variables: