$a=b$

Number Theory Level 2

Is it always true that if $\large x^a=x^b$

for integers $x,a,b$ and $x \ne 0$ , then $a=b$ ?

Can't Be Determined No Yes

1 solution

Munem Shahriar
Dec 25, 2017

For $x =1$ and $a =1$ and $b = 0$

$1^1 = 1^0$

SInce $a \ne b,$ the answer is $\boxed{\text{no}}$

cool. W*F I only thought about numbers greater than 0 and 1 lol

Drake Krewson - 4 months, 1 week ago