Get an answer in 5 minutes

We'll notify as soon as your question has been answered.

Plus iconAsk a question to our educators
MATHS
Asked by Antima

Can anyone explain why 0's exponent any number is 1?

Another way to explain why this is the rule, is by using a pattern lets use the number 2 and answers using both positive and negative exponents. 2^4 = 16 2^3 = 8 2^2 = 4 2^1 = 2 2^0 =?? 2^ -1 = 1/2 2^ - 2 = 1/4 2^ - 3 = 1/8 2^ - 4 = 1/16 Moving down the list you divide by 2 every time. Or going upward you multiply by 2 every step. When you get to 2^0 following the pattern going down and dividing by 2 this means: 2^0 = 2^1 梅 2 = 1 Hope this helps 馃槉

Nour's profile picture
Verified
Nour Habona

415 students helped

If we look at the following equation: (x^0)(x^b)=x^(0+b), by the rules of indices but simplifying we have x^(0+b)= x^b so we have, (x^0)(x^b)=x^b and dividing by x^b (given that x isn't 0) gives x^0 = 1

Zahra's profile picture
Verified
Zahra Bashir

11.1k students helped

The easiest way I can explain it is by using Laws of Exponents. x^2 梅 x^2 is equal to x^(2-2). This equals x^0. But we also know anything divided by itself is equal to 1. So put the two laws together and then we can say anything to the power of 0 equals 1.

Jenny's profile picture
Verified
Jenny Chakanyuka

905 students helped

Similar Maths questions

Get an answer in 5 minutes

We'll notify as soon as your question has been answered.

Plus iconAsk a question to our educators

Badge showing the text 'New'Learn Maths with Video Lessons

GCSE Maths - Numbers
1hr 28m 路 8 videos
Paja's profile picture
Paja Kruzikova

442 students helped

GCSE Maths - Numbers
Quadratic Inequalities
28m 路 3 videos
Iqbal's profile picture
Iqbal Lokman

1.3k students helped

Quadratic Inequalities
GCSE Maths - Ratios
1hr 32m 路 9 videos
Paja's profile picture
Paja Kruzikova

442 students helped

GCSE Maths - Ratios
GCSE Maths - Algebra A
56m 路 6 videos
Paja's profile picture
Paja Kruzikova

442 students helped

GCSE Maths - Algebra A

Premium video lessons available now on Scoodle

50% discount available

Scoodle's video lessons make learning easy and fun. Try it for yourself, the first lesson is free!