**For Parent**

## What is Division with Exponents Using Integral Bases?

Division with exponents using integral bases is an important math concept for grade 9 students in Ontario, Canada. It involves using the same base number for both a dividend and a divisor, and then using exponents to solve the equation. This concept allows students to divide and simplify complex empirical equations down to a simpler form.

A simple example of a equation using this concept is as follows: 8^{2} ÷ 8^{1} = 8^{1}. This equation reads “Eight raised to the power of two divided by eight raised to the power of one equals eight raised to the power of one.”

## Assisting Someone with Dyslexia in Understanding Division with Exponents Using Integral Bases

There are certain difficulties someone with Dyslexia may encounter while trying to understand this concept. Here are three potential issues, and advice on how to help the student navigate these issues.

## Difficulty with Reading Numbers and Words

A student with Dyslexia may have difficulty with reading numbers and words, making it difficult for them to parse equations. One way to help them understand equations is to accompany numerical equations with visual representations. For example, when solving the equation 8^{2} ÷ 8^{1} = 8^{1}, showing the equation with base blocks (like ones and tens blocks) and pairing them with the equation can help a student understand what is required to solve the equation.

## Difficulty Grasping the Math Concept

A student with Dyslexia may have difficulty understanding and grasping math concepts. To help them better understand the concept, it is important for the parent to take their time and explain the concept step-by-step. Additionally, having the student complete worksheets with equations to solve can help reinforce their understanding of the concept.

## Difficulty with Memorizing Symbols and Equations

A student with Dyslexia may have difficulty remembering symbols and equations. To help them remember equations and symbols, it can be beneficial to encourage the student to create their own visual cues or stories that represent the equation. For instance, when solving the equation 8^{2} ÷ 8^{1} = 8^{1}, the student can create a story of a giant with two hats (one with eight on it, and the other hat with one eight) and that would be a visual way to remember this equation.

Equation: 8^{2} ÷ 8^{1} = 8^{1}

Sample Question: What is the answer to 8^{2} ÷ 8^{1}?

Sample Answer: 8^{1}.

**For Youth**

Division with exponents using integral bases can be tricky. Basically, the equation looks something like this:

x^a ÷ x^b = x^(a-b).

This means that when you’re dividing exponents with the same base, you subtract the lower power from the higher power. Let’s take a look at an example:

3^5 ÷ 3^2 = 3^(5-2).

If you subtract 2 from 5, you’re left with 3. That means that your answer is 3^3.

Now, if you are having trouble understanding the concept of division with exponents, here are some tips for you. First, draw the equations in your notebook so that the equations are visible to you. Second, practice drawing out the equations on paper and work through the problems step-by-step. Third, if you can, ask your teacher or a classmate to help explain the concept to you. And finally, don’t be afraid to ask questions. It’s completely ok to not understand something! Asking questions is the best way to make sure you understand a concept.

I know understanding math can be difficult sometimes, especially when you’re struggling with Dyslexia. But don’t give up! With practice and patience, you can overcome anything. Taking the time to work through the problem at your own pace and breaking it down into smaller steps can help a lot. Just remember to keep trying, and you’ll get it!