Multiplying Exponents

Multiplying Exponents

In this lesson, you will learn how to multiply exponents. This is a very easy topic because all you have to do is multiply two exponents together!

For example let's say that you have the two exponents 3 to the power of 8 and 2 to the power of 5.

First, find the values of each exponent!

3 to the power of 8 is the same thing as 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 which equals 6,561

2 to the power of 5 is the same thing as 2 x 2 x 2 x 2 x 2 which equals 32

Now, just simply multiply both values.

6,561 x 32 = 209,952

Subtracting Exponents

Subtracting Exponents

In this lesson, you will learn all about exponents and also how to subtract two different exponents. But what is an exponent?

Exponent: A power that a number is given

For example let's say that we have the two exponents 5 to the power of 4 and 7 to the power of 3.

First, find the value of the two exponents.

5 to the power of 4 is the same thing as 5 x 5 x 5 x 5 which equals 625.

7 to the power of 3 is the same thing as 7 x 7 x 7 which equals 343.

Now just simply subtract the two to find the difference!

625 - 343 = 282

That means the difference of the two exponents is equal to 282.

Adding Exponents

Adding Exponents

In this lesson, you will learn all about exponents and also how you can add two different exponents together. But to start off, let's review the definition of exponents.

Exponent: a power that a number is given.

For example let's say that we have the number 6 to the power of 3 and 4 to the power of 2. The first step in adding these is to find out the answer to each of these exponents.

6 to the power of 3 is the same thing as 6 x 6 x 6 which equals 216.

4 to the power of 2 is the same thing as 4 x 4 which equals 16.

Now all you have to do is add the two values together!

216 + 16 equals 232.

That means the sum of 6 to the power of 3 and 4 to the power of 2 is equal to 232.

Exponents and Scientific Notation

Introduction

In this lesson, we will learn how to use exponents and scientific notation. It is called scientific notation because scientists often work with large and small numbers and so they use exponents to make it easier for them to calculate numbers.

Exponents and Scientific Notation

Let's say that we have the number 126. In order to convert this into scientific notation, we need to first convert the number 126 into a decimal. If I do 1.26, it isn't the same numbers however
 (1.26) (100) does equal 126.
So, the scientific notation for 126 is 1.26 x 10 to the power of 2!

{The reason I wrote 10 to the power of 2 is because 10 X 10 equals 100}

 Sheet 1 Exponents and Scientific Notation