## Exponents

Learn about exponents here and gain quality algebra help. Exponents are the "

where n is the exponent and x is called as the base .

It illustrates that x is multiplied n number of times .

Consider , 7^3

where 3 is the exponent and 7 is known as base

It shows that 7 is multiplied thrice to get 343

Learn about exponents here and gain quality algebra help. Exponents are the " expressions given to that number when it is multiplied number of times by itself or with other numbers " . I is also called as the Power .

Ex : Consider , x^n

where n is the exponent and x is called as the base .

It illustrates that x is multiplied n number of times .

Consider , 7^3

where 3 is the exponent and 7 is known as base

It shows that 7 is multiplied thrice to get 343

Here are the laws of exponents explained below for your better understanding:

" If we are multiplying the two numbers with exponents whose bases are same then their exponents can be added "as shown below

x^a * x^b = x^(a+b)

where a & b are exponents and x is the base

According to the law , we can add the exponents as the bases are same .

therefore the equation becomes , 8^2 * 8^3 = 8^5

8^5 = 32768

No let us find out whether the law holds good or not

8^2 = 64 , 8^3 = 512

64*512 = 32768 = 8^5

Thus the law holds good for all the exponents with same base .

I am planning to write more post on

Exponents - 2nd law

" If we want to raise the number with a power to other power then the exponents can be multiplied " as shown below

( x^p )^q = x^(p*q) or x^(pq)

where x is known as the base and pq are the exponents .

Consider , (3^3)^2

Now according to the law , the equation becomes 36

3^6 = 729

Now let us verify the law ,

3^3 = 27 and 27^2 = 729 = 3^6

Thus the law is verified and it shows that it holds good for all the exponential forms .

" If we are multiplying the two numbers with exponents whose bases are same then their exponents can be added "as shown below

x^a * x^b = x^(a+b)

where a & b are exponents and x is the base

According to the law , we can add the exponents as the bases are same .

therefore the equation becomes , 8^2 * 8^3 = 8^5

8^5 = 32768

No let us find out whether the law holds good or not

8^2 = 64 , 8^3 = 512

64*512 = 32768 = 8^5

Thus the law holds good for all the exponents with same base .

Exponents - 2nd law

" If we want to raise the number with a power to other power then the exponents can be multiplied " as shown below

( x^p )^q = x^(p*q) or x^(pq)

where x is known as the base and pq are the exponents .

Consider , (3^3)^2

Now according to the law , the equation becomes 36

3^6 = 729

Now let us verify the law ,

3^3 = 27 and 27^2 = 729 = 3^6

Thus the law is verified and it shows that it holds good for all the exponential forms .

**expressions**given to that number when it is multiplied number of times by itself or with other numbers " . I is also called as the Power .**Ex :**Consider , x^nwhere n is the exponent and x is called as the base .

It illustrates that x is multiplied n number of times .

Consider , 7^3

where 3 is the exponent and 7 is known as base

It shows that 7 is multiplied thrice to get 343

**Laws of Exponents****Here are the laws of exponents explained below for your better understanding:**Learn about exponents here and gain quality algebra help. Exponents are the " expressions given to that number when it is multiplied number of times by itself or with other numbers " . I is also called as the Power .

Ex : Consider , x^n

where n is the exponent and x is called as the base .

It illustrates that x is multiplied n number of times .

Consider , 7^3

where 3 is the exponent and 7 is known as base

It shows that 7 is multiplied thrice to get 343

**Laws of Exponents**Here are the laws of exponents explained below for your better understanding:

**1st Law of Exponents :**" If we are multiplying the two numbers with exponents whose bases are same then their exponents can be added "as shown below

x^a * x^b = x^(a+b)

where a & b are exponents and x is the base

**Illustration :**Consider , 8^2 * 8^3According to the law , we can add the exponents as the bases are same .

therefore the equation becomes , 8^2 * 8^3 = 8^5

8^5 = 32768

No let us find out whether the law holds good or not

8^2 = 64 , 8^3 = 512

64*512 = 32768 = 8^5

Thus the law holds good for all the exponents with same base .

I am planning to write more post on

**Integer Exponents**and**aipmt neet 2013**. Keep checking my blog.Exponents - 2nd law

**2nd Law of Exponents :**" If we want to raise the number with a power to other power then the exponents can be multiplied " as shown below

( x^p )^q = x^(p*q) or x^(pq)

where x is known as the base and pq are the exponents .

**Illustration :**Consider , (3^3)^2

Now according to the law , the equation becomes 36

3^6 = 729

Now let us verify the law ,

3^3 = 27 and 27^2 = 729 = 3^6

Thus the law is verified and it shows that it holds good for all the exponential forms .

" If we are multiplying the two numbers with exponents whose bases are same then their exponents can be added "as shown below

x^a * x^b = x^(a+b)

where a & b are exponents and x is the base

**Illustration :**Consider , 8^2 * 8^3According to the law , we can add the exponents as the bases are same .

therefore the equation becomes , 8^2 * 8^3 = 8^5

8^5 = 32768

No let us find out whether the law holds good or not

8^2 = 64 , 8^3 = 512

64*512 = 32768 = 8^5

Thus the law holds good for all the exponents with same base .

Exponents - 2nd law

**2nd Law of Exponents :**" If we want to raise the number with a power to other power then the exponents can be multiplied " as shown below

( x^p )^q = x^(p*q) or x^(pq)

where x is known as the base and pq are the exponents .

**Illustration :**Consider , (3^3)^2

Now according to the law , the equation becomes 36

3^6 = 729

Now let us verify the law ,

3^3 = 27 and 27^2 = 729 = 3^6

Thus the law is verified and it shows that it holds good for all the exponential forms .