Name: Wendy
Who is asking: Teacher
Question: How do I explain to kids that i.e. 5 exponent 0 = 1? Does 0 exponent 0 = 1? Thanks Hi Wendy, By applying the rule for exponents of quotients you can show that But we know that any rational expression (fraction) that has the same thing in the numerator and the denominator is equal to 1. SoBy the transitive property, a^{0} is therefore equal to 1. 0^{0} is more complicated since you cannot do an analogous demonstration with it because 0 raised to a finite power is 0 and you can therefore not have it in the denominator of a fraction. 0^{0} is undefined. Our response to another teacher who asked about 0^{0} may help clairfy why 0^{0} should remain undefined. Hope this helps. Leeanne and Penny
