Powers of Literal Numbers
Powers of literal numbers are the repeated product of a number with itself is written in the exponential form.
For example:
3 × 3 = 323 × 3 × 3 = 33
3 × 3 × 3 × 3 × 3 = 35
Since a literal number represent a number.
Therefore, the repeated product of a number with itself in the exponential form is also applicable to literals.
Thus, if a is a literal, then we write
a × a × a = a3
a × a × a × a × a = a5, and so on.
Also, we write
7 × a × a × a × a = 7a4
4 × a × a × b × b × c × c = 4a2b2c2
3 × a × a × b × b × b × c × c × c × c as 3a2b3c4 and so on.
We read a2 as the second power of a or square of a or a raised to the exponent 2 or a raised to power 2 or a squared.
Similarly, a5 is read as the fifth power of a or a raised to exponent 5 or a raised to power 5 (or simply a raised 5), and so on.
In a2, a is called the base and 2 is the exponent or index.
Similarly, in a5, the base is a and the exponent (or index) is 5.
It is very clear from the above discussion that the exponent in a power
of a literal indicates the number of times the literal exponent has been
multiplied by itself.
Thus, we have
a15 = a × a × a × a……………… repeatedly multiplied 15 times.
Conventionally, for any literal a, a1 is simply written as a,
i.e., a1 = a.
Also, we write
a × a × a × b × b = a3b2
7 × a × a × a × a × a = 7a5
7 × a × a × a × b × b = 7a3b2
These are the examples of powers of literal numbers.
Properties of Multiplication of Literals
Algebra Page
6th Grade Page
From Powers of Literal Numbers to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Recent Articles
-
Word Problems on Area and Perimeter | Free Worksheet with Answers
Jul 26, 24 04:58 PM
word problems on area and perimeter -
Worksheet on Perimeter | Perimeter of Squares and Rectangle | Answers
Jul 26, 24 04:37 PM
Practice the questions given in the worksheet on perimeter. The questions are based on finding the perimeter of the triangle, perimeter of the square, perimeter of rectangle and word problems. I. Find… -
Perimeter and Area of Irregular Figures | Solved Example Problems
Jul 26, 24 02:20 PM
Here we will get the ideas how to solve the problems on finding the perimeter and area of irregular figures. The figure PQRSTU is a hexagon. PS is a diagonal and QY, RO, TX and UZ are the respective d… -
Perimeter and Area of Plane Figures | Definition of Perimeter and Area
Jul 26, 24 11:50 AM
A plane figure is made of line segments or arcs of curves in a plane. It is a closed figure if the figure begins and ends at the same point. We are familiar with plane figures like squares, rectangles… -
5th Grade Math Problems | Table of Contents | Worksheets |Free Answers
Jul 26, 24 01:35 AM
In 5th grade math problems you will get all types of examples on different topics along with the solutions. Keeping in mind the mental level of child in Grade 5, every efforts has been made to introdu…
● Literal Numbers - Worksheets
Worksheet on Addition of Literals
Worksheet on Subtraction of Literals
Worksheet on Multiplication of Literals
Worksheet on Division of Literals
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.