Why does a number powered to 0 = 1?

1.33K viewsMathematicsOther

Anything multiplied by 0 is 0 right so why does x number raised to the power of 0 = 1? isnt it x^0 = x*0 (im turning grade 10 and i asked my teacher about this he told me its because its just what he was taught 💀)

In: Mathematics

42 Answers

Anonymous 0 Comments

Let me add a simple sequence i remember 
X^0= x^(1-1)
We know x^(a+b) is x^a times x^b so we can write above equation as
x^(1-1)= x^1 times x^(-1)
x^1 times x^(-1)= x ÷x 

x ÷x = 1

You are viewing 1 out of 42 answers, click here to view all answers.