Why is anything to the power 0 equal 1?

This is often overlooked as no-one gives a reason to why this is and is often stated as a fact. We start off with the basic indice law of x* xz  = xy+z.

For example, Likewise with division, you can have z = -w and therefore you take away

73 * 72 = (7 * 7 * 7) * (7* 7) = 7 * 7 * 7 * 7 * 7 * 7 * 7 = 7

Likewise with division, you can have z = -w and therefore you take away the powers. The number 0 is made through taking away two numbers that are the same, e.g. 5 - 5 or -11 + 11. This means we have 70 = 7w * 7-w = 7w / 7w = 1

Pavit B. A Level Further Mathematics  tutor, GCSE Physics tutor, GCSE...

1 year ago

Answered by Pavit, a GCSE Maths tutor with MyTutor

Still stuck? Get one-to-one help from a personally interviewed subject specialist


£22 /hr

Joe C.

Degree: General Engineering (Masters) - Durham University

Subjects offered:Maths, Science+ 2 more


“Masters student at Durham University, ready to help you excel at Maths and Science ”

£18 /hr

Toluwalase F.

Degree: Mechanical Engineering (Masters) - Nottingham University

Subjects offered:Maths, Physics+ 2 more

Philosophy and Ethics

“Mechanical Engineering(MEng).Completed the IB with a 7 in Higher Physics and a 6 in Maths.Progression tracked through regular short answer tests.”

£18 /hr

Ioannis P.

Degree: Computer Science (Bachelors) - Warwick University

Subjects offered:Maths


“Maths and Computer Science are both my passion. Having tutored students in the past, they think that my methods seem very intuitive and natural; you will too.”

About the author

Pavit B.

Currently unavailable: for regular students

Degree: Physics (Masters) - Durham University

Subjects offered:Maths, Physics+ 1 more

Further Mathematics

“Who am I?Hi, I'm Pav. I'm currently a physics student at Durham University and there is very little I enjoy more than teaching. I have afasincation for the sciences and in my tutorials I hope to be able to get you not only interested...”

You may also like...

Posts by Pavit

How does the demand and supply diagram form?

What is a complex number?

What is the difference between a scalar and a vector?

Why is anything to the power 0 equal 1?

Other GCSE Maths questions

Solve the quadratic equation x^2+5x+6=0

solve the simultaneous equations , 5a+2b=23 & 9a-2b=19, algebraically.

Find the values of x when x^2-6=x

Solve this inequality 4y - 3 ≥ 5

View GCSE Maths tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss