As we have already learnt the concept of exponent which is a shorthand notation. Let us learn about zero exponent which means for any non zero integer a0 is 1. Let us try to solve few examples : 31 25 In the first example 31. Here 3 is multiplied itself for 1 time we get as ... Read More »

## Category Archives: Exponents

## Negative Exponents Example -1

We have already learnt the concept of negative exponent, let us start an exercise based on this. Let us solve an example : 2-4 In the example, 2-4 can be written as 1/24 since we have exponent with negative( – ). Here 24 means 2 multiplied itself for 4 times, i.e., 2 x 2 x 2 x 2, we get ... Read More »

## Negative Exponents

Negative exponents means the power(exponent) of a number is negative(-).If a number in numerator having negative exponent is to be reciprocal by positive (i.e., a-m = 1/am) Let us try to solve few examples : 2-3 In the example 2-3, here exponent is negative i.e., -3 and we know that 23 can be written as 2 x 2 ... Read More »

## Exponential Terms With Negative Base Example -1

Already we have learnt the concept of negative base and now let us proceed with the examples. 81/16 Here 81 can be written as 3 x 3 x 3 x 3 = 34 16 can be written as 2 x 2 x 2 x 2 = 24 we can write 81/16 as 34/24 34/24 = (3)4/(2)4 =(3/2)4 Therefore we get ... Read More »

## Exponential Terms With Negative Base

In this chapter we are going to learn the concept of exponential terms with base negative which means the base number is negative, for instance (-3)4. Let us try to solve the example, for a while assume -3 as 3 and now 3 is multiplied itself for 4 times, i.e., 3 x 3 x 3 x 3 we get ... Read More »

## Division Of Terms With Same Exponents Example -1

In this chapter we are going to solve some examples based on division of terms with same exponents for example (2/5)3. In the example (2/5)3 can be written as (2/5) x (2/5) x (2/5), again it can be written as (2 x 2 x 2)/(5 x 5 x 5) = 23/53. Therefore we get the result for (2/5)3 as 23/53. ... Read More »

## Division Of Terms With Same Exponents

We are going to learn in this chapter a new concept, i.e., dividing a term by another term with same exponent.Let us solve the examples : (8/3)3 (5/7)4 In the first example, i.e., (8/3)3 can be written as (8/3) x (8/3) x (8/3), again can be written as (8 x 8 x 8) / (3 x 3 x ... Read More »

## Division Of Exponents Having The Same Base Example -1

As we have already learnt the concept of division of exponent having its base same. Let us try to solve few examples 54/52 84/815 In the example, i.e., 54/52 we can write the given as 54-2 since denominator moves to numerator, thus we get 52. Therefore, we get the result for 54/52 as 52. Coming to next example, i.e., 84/815 ... Read More »

## Division Of Exponents Having The Same Base

We know that exponents are shorthand notation. Now moving to a new concept, i.e., dividing a exponent(power) by another exponent with the same base. Let us try to solve few examples : 46 / 42 82 / 87 In the first example, i.e., 46 / 42 can be written as (4 x 4 x 4 x 4 x 4 x ... Read More »

## Exponent Of Exponent Property Example -1

As we have already discussed exponent of exponent. Let us try to solve an example, i.e., (23)4. Here 23 is multiplied itself for 4 times as 23 x 23 x 23 x 23 and we can write as 23+3+3+3 = 212, in short we can also write (23)4 as 23 x 4 = 212. Therefore the result for (23)4 is ... Read More »