is 3x^2*(1/3) x^-2 equivalent to (3x^4)^0

1 answer

No,
3x^2 * (1/3) * x^-2 is not equivalent to (3x^4)^0.

First, let's simplify 3x^2 * (1/3) * x^-2:

3x^2 * (1/3) * x^-2 = (3/3) * x^2 * (1/x^2) = 1 * 1 = 1.

Now, let's simplify (3x^4)^0:

(3x^4)^0 = 1^0 = 1.

Therefore, both expressions are equal to 1, but they are not equivalent to each other.