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Zero Exponents

Zero Exponents

    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 »

Negative Exponents Example -1

Negative Exponents Ex-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

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

Exponential Terms With Negative Base Ex-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

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

Division Of Terms With Same Exponents Ex-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

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

Division Of Exponents Having The Same Base Ex-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

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

Exponent Of Exponent Property Ex-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 »

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