Power of Literal Quantities
Power of literal quantities means when a quantity is multiplied by itself, any number of times, the product is called a power of that quantity. This product is expressed by writing the number of factors in it to the right of the quantity and slightly raised.
For example:
(i) m × m has two factors so to express it we can write m × m = m2(ii) b × b × b has three factors so to express it we can write b × b × b = b3
(iii) z × z × z × z × z × z × z has seven factors so to express it we can write z × z × z × z × z × z × z = z7
Learn how to read and write the power of literal quantities.
(i) Product of x × x is written as x2 and it is read as x squared or x raised to the power 2.(ii) Product of y × y × y is written as y3 and it is read as y cubed or y raised to the power 3.
(iii) Product of n × n × n × n is written as n4 and it is read as forth power of n or n raised to the power 4.
(iv) Product of 3 × 3 × 3 × 3 × 3 is written as 35 and it is read as fifth power of 3 or 3 raised to the power 5.
How to identify the base and exponent of the power of the given quantity?
(i) In a5 here a is called the base and 5 is called the exponent or index or power.(ii) In Mn here M is called the base and n is called the exponent or index or power.
Solved examples:
1. Write a × a × b × b × b in index form.
a × a × b × b × b = a2b32. Express 5 × m × m × m × n × n in power form.
5 × m × m × m × n × n = 5m3n2
3. Express -5 × 3 × p × q × q × r in exponent form.
-5 × 3 × p × q × q × r = -15pq2r
4. Write 3x3y4 in product form.
3x3y4 = 3 × x × x × x × y × y × y × y
5. Express 9a4b2c3 in product form.
9a4b2c3 = 3 × 3 × a × a × a × a × b × b × c × c × c
● Terms of an Algebraic Expression
Types of Algebraic Expressions
Multiplication of Two Monomials
Multiplication of Polynomial by Monomial
Multiplication of two Binomials
Algebra Page
6th Grade Page
From Power of Literal Quantities 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
-
What are Parallel Lines in Geometry? | Two Parallel Lines | Examples
Apr 19, 24 04:39 PM
In parallel lines when two lines do not intersect each other at any point even if they are extended to infinity. What are parallel lines in geometry? Two lines which do not intersect each other -
Perpendicular Lines | What are Perpendicular Lines in Geometry?|Symbol
Apr 19, 24 04:01 PM
In perpendicular lines when two intersecting lines a and b are said to be perpendicular to each other if one of the angles formed by them is a right angle. In other words, Set Square Set Square If two… -
Fundamental Geometrical Concepts | Point | Line | Properties of Lines
Apr 19, 24 01:50 PM
The fundamental geometrical concepts depend on three basic concepts — point, line and plane. The terms cannot be precisely defined. However, the meanings of these terms are explained through examples. -
What is a Polygon? | Simple Closed Curve | Triangle | Quadrilateral
Apr 19, 24 01:22 PM
What is a polygon? A simple closed curve made of three or more line-segments is called a polygon. A polygon has at least three line-segments. -
Simple Closed Curves | Types of Closed Curves | Collection of Curves
Apr 18, 24 01:36 AM
In simple closed curves the shapes are closed by line-segments or by a curved line. Triangle, quadrilateral, circle, etc., are examples of closed curves.
● Terms of an Algebraic Expression - Worksheet
Worksheet on Types of Algebraic Expressions
Worksheet on Degree of a Polynomial
Worksheet on Addition of Polynomials
Worksheet on Subtraction of Polynomials
Worksheet on Addition and Subtraction of Polynomials
Worksheet on Adding and Subtracting Polynomials
Worksheet on Multiplying Monomials
Worksheet on Multiplying Monomial and Binomial
Worksheet on Multiplying Monomial and Polynomial