# 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 = a2b3

2. 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

Types of Algebraic Expressions

Degree of a Polynomial

Subtraction of Polynomials

Power of Literal Quantities

Multiplication of Two Monomials

Multiplication of Polynomial by Monomial

Multiplication of two Binomials

Division of Monomials
The text passage provides an explanation of the concept of powers of literal quantities, including examples and solved problems. It does not contain any explicit mathematical questions that require an answer, but it does provide examples and solutions to problems.
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# 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 = a2b3

2. 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

Types of Algebraic Expressions

Degree of a Polynomial

Subtraction of Polynomials

Power of Literal Quantities

Multiplication of Two Monomials

Multiplication of Polynomial by Monomial

Multiplication of two Binomials

Division of Monomials
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The text passage provides an explanation of the concept of powers of literal quantities, including examples and solved problems. It does not contain any explicit mathematical questions that require an answer, but it does provide examples and solutions to problems.

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