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* x= 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

PB
Answered by Pavit B. Maths tutor

5730 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

1a) Simplify 2a^3 x a^5 1b) (4x^2)^3 1c) 2(3y+1) - 3(y-4)


i) Make y the subject of the expression x = ((a-y)/b))^1/2 ii) Simplify fully (2x^2 − 8)/(4x^2 − 8x)


How do I solve the simultaneous equations 2x - y = 3 and 3x + y = 9


Find the length of a side of the triangle (Pythagoras' Theorem) Two sides are of length 3cm and 4cm, find the length of the Hypotenuse.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning