Exponents
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:
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 * 8^3
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 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 * 8^3
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
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 .
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:
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 * 8^3
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 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 * 8^3
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
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 .