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

5435 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

At the supermarket, Ben buys 5 apples and 3 pears, at a total cost of £3.70. Jenny buys 6 apples and 6 pears, costing £5.40. Construct two simultaneous equations to work out the price, in pence, of apples and pears.


Make s the subject of :v^2 = u^2 +2*a*s


The area of a rectangle is 8cm^2. It has a length of (3x+1)cm and a width of (2x+5)cm. Work out the value of x.


Factorise x² + 2x - 8


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