CBSE Maths Class 8 Exponents and Power
We will proceed to discuss the Exponents and Power from Class 8 Maths.
An Exponent stands for a way repeatedly the amount is increased.We have studied in previous Class‘how to put in writing massive numbers mistreatment exponents’. It involves 2 numbers a and b wherever a is base and b is that the exponent.
Mass of earth is 5,970,000,000,000,000,000,000,000 kg, which can be written as 5, 97 x 10 24 .
10 24 can be read as 10 raised to the power 24.
Now, we will find what is 2-2 is equal to?
Powers with negative exponents
We know that 10 2 = 10 x 10=100
As the exponents decrease by 1 the value becomes one tenth of the previous value.
10 1 =100/10=10
10 0 =10/10=1
10 -1 =1/10
10 2 =1/100
So, by observing the above pattern we can say that any integer a which is non -zero, a -m =1/ a m , where m is a positive integer.
a -m Is the multiplicative inverse of a m .
Laws of exponents
We know that for any non-zero integer a,a m x a n =a m+n
Example : -3 -4 x -3 -3 = 1/-3 4+3 = -3 -7
Example : -3 -4 x -3 -3 = 1/-3 4+3 = -3 -7
-7 is the sum of exponents -4 and -3
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