Can you please explain me how any no raised to the power 0 is 1
Let's look at what it means to raise a number to a certain power: it means to multiply that number by itself a certain number of times. Three to the second power is three multiplied by itself 2 times, or 3*3=9. Let's look at a few examples:
35 = 3*3*3*3*3 = 243
34 = 3*3*3*3 = 81
33 = 3*3*3 = 27
32 = 3*3 = 9
31 = 3 = 3
But how do you go from 31 to 30? If you look at the pattern, you can see that each time we reduce the power by 1 we divide the value by 3. Using this pattern we can not only find the value of 30, we can find the value of 3 raised to a negative power! Here are some examples:
30 = 3/3 = 1
3-1 = 1/3 = 0.3333... (this decimal repeats forever)
3(-2) = 1/3/3 = 0.1111...
No matter what number we use when it is raised to the zero power it will always be 1. Suppose instead of 3 we used some number N, where N could even be a decimal. N1=N, and to reduce the power by 1 we divide by N, soN0=N1/N = N2/2N =1
Let's look at what it means to raise a number to a certain power: it means to multiply that number by itself a certain number of times. Three to the second power is three multiplied by itself 2 times, or 3*3=9. Let's look at a few examples:
35 = 3*3*3*3*3 = 243
34 = 3*3*3*3 = 81
33 = 3*3*3 = 27
32 = 3*3 = 9
31 = 3 = 3
But how do you go from 31 to 30? If you look at the pattern, you can see that each time we reduce the power by 1 we divide the value by 3. Using this pattern we can not only find the value of 30, we can find the value of 3 raised to a negative power! Here are some examples:
30 = 3/3 = 1
3-1 = 1/3 = 0.3333... (this decimal repeats forever)
3(-2) = 1/3/3 = 0.1111...
No matter what number we use when it is raised to the zero power it will always be 1. Suppose instead of 3 we used some number N, where N could even be a decimal. N1=N, and to reduce the power by 1 we divide by N, soN0=N1/N = N2/2N =1
