Question
Is x1/2 x 1/3 equivalent to the expression x1/3 x x1/2?
Answers
GPT 3.5
Yes, the expression x 1/2 x 1/3 is equivalent to the expression x 1/3 x x 1/2.
To see this, we can simplify both expressions:
x 1/2 x 1/3 = (x * 1/2) * 1/3 = x/2 * 1/3 = x/6
x 1/3 x x 1/2 = (x * 1/3) * (x * 1/2) = x/3 * x/2 = (x * x)/(3 * 2) = x^2/6
Both expressions simplify to x/6 and x^2/6 respectively, which means they are equivalent.
To see this, we can simplify both expressions:
x 1/2 x 1/3 = (x * 1/2) * 1/3 = x/2 * 1/3 = x/6
x 1/3 x x 1/2 = (x * 1/3) * (x * 1/2) = x/3 * x/2 = (x * x)/(3 * 2) = x^2/6
Both expressions simplify to x/6 and x^2/6 respectively, which means they are equivalent.