zero power of any number is one why ? |

zero power of any number is one why ? | #maths (‎@AshishKumar-zo2sg )
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power will be add when base are same in multiplication time
exponent will be add when base are same at multiplication time
agar adhar saman hai to guna karate wakt ghat ko jod diya jata hai
power will be subtracted in division time when base are same
agar adhar saman hai to bhag dete wakt ghat ko ghta diya jata hai
In Mathematics, there are different laws of exponents
All the rules of exponents are used to solve many mathematical problems which involve repeated multiplication processes
The laws of exponents simplify the multiplication and division operations and help to solve the problems easily
In this article, we are going to discuss the six important laws of exponents with many solved examples
Exponent Definition
Laws of Exponents
Powers with Same Base
Quotient with Same Base
Power of a Power
Product to a Power
Quotient to a Power
Zero Power Rule
Negative Exponent Rule
Fractional Exponent Rule
Practice Problems
What are Exponents?
Exponents are used to show repeated multiplication of a number by itself
For example
7 × 7 × 7 can be represented as 73. Here
the exponent is ‘3’ which stands for the number of times the number 7 is multiplied
7 is the base here which is the actual number that is getting multiplied
So basically exponents or powers denotes the number of times a number can be multiplied. If the power is 2
that means the base number is multiplied two times with itself Some of the examples are
Suppose
a number ‘a’ is multiplied by itself n-times
then it is represented as an where a is the base and n is the exponent
laws of exponents
Exponents follow certain rules that help in simplifying expressions which are also called its laws
Let us discuss the laws of exponents in detail
Rules of Exponents With Examples
As discussed earlier
there are different laws or rules defined for exponents
The important laws of exponents are given below
Also Read
Now let us discuss all the laws one by one with examples here
An Introduction To Exponents
Exponents And Powers for Class 7
Exponents And Powers For Class 8
Product With the Same Bases
As per this law
for any non-zero term a
where m and n are real numbers
Note
We can state that the law is applicable for negative terms also Therefore the term m and n can be any integer
Quotient with Same Bases
As per this rule
Power Raised to a Power
According to this law, if ‘a’ is the base, then the power raised to the power of base ‘a’ gives the product of the powers raised to the base ‘a’
Product to a Power
As per this rule, for two or more different bases, if the power is same
Quotient to a Power
As per this law, the fraction of two different bases with the same power is represented as
an/bn = (a/b)n
where a and b are non-zero terms and n is an integer
Zero Power
According to this rule, when the power of any integer is zero, then its value is equal to 1
Negative Exponent Rule
According to this rule
if the exponent is negative
we can change the exponent into positive by writing the same value in the denominator and the numerator holds the value 1
The negative exponent rule is given as
a-m = 1/am
Which are the 7 laws of exponents?
What is the basic law of exponents?
What are the 11 laws of exponents?
What is the law of exponential?
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