Pre-Algebra 22 - Exponents of One, Zero, and Negative

[@shivraj688]

please sir make videos on calculus.......you are a great guru...Thank you

[@lanceg9050]

Thank You so much, it really helped

[@sighisoaraa]

How would you represent 0^n (n being a positive integer) using fractions?

[@MyWhyU]

Since zero multiplied by itself n times is zero, 0^n (n>0) is zero. On the other hand, zero to a negative power is undefined since that is the same as 1/0 to a positive power and 1/0 is undefined. It is interesting that zero to the zero power is also undefined. This is because any non-zero number to the zero power is 1 and zero to any positive power is zero. If you plot the function "z = x^y" where x and y are variables, as you approach the origin where x = y = 0, the function becomes discontinuous. As you get infinitely close to the origin, x^y has different values depending upon the direction from which you approach the origin.

[@milestailsprower4555]

@@MyWhyU This means 1/0 will be Infinity

[@farahjaber6024]

when the exponential expression have the base one 1 raised to any power the answer is one 1 ,even with a negative exponent ex: 1^-2 =1/(1^2) = 1/(1x1) =1/1=1.

[@muhammadayan5946]

00000

[@muhammadayan5946]

kmjuhdsasdc3rttyyyy5theUK.Ithink

[@vmohakrish]

Great Video!

[@ImranZakhaev9]

can math teachers please watch this? My teacher explained this in the most complicated way possible, and it gave me a headache knowing there is an extremely easy formula

[@keviin0]

very helpful for my homework

[@FreddieF]

Zero is so annoying. Yet so useful. UGh...

[@AlessandroZir]

👍👍👍👍

[@mugsverbrandes131]

But in my calculator in 0^0 is 1

[@justabunga1]

No, it’s indeterminate.

[@baarg8672]

on my android device i have the same result too = 1