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

5247 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve the quadratic equation 2(x^2) + 3x + 1 = 0


A hemisphere is placed on top of an upside down cone. The cone has height 9cm and the hemisphere has radius 3cm. The total volume of this composite solid is x cm^3. Calculate the value of x, leaving your answer in terms of π.


Find the equation of the straight line that is tangent to the curve 2x^2 - 5x - 3 =0 when x = 3.


A ladder of length 6.5m is leaning against a vertical wall. The foot of the ladder is 1.5m from the wall. Calculate the distance the ladder reaches up the wall to 3 significant figures.


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:

© 2025 by IXL Learning