Determine whether the following expression is equivalent to x 8/3.
a) (3 square root x)^0/(3 square root x^2)-4
To determine if the expression (3 square root x)^0/(3 square root x^2)-4 is equivalent to x 8/3, we need to simplify the expression and compare it to x 8/3.
Let's simplify the expression:
(3 square root x)^0/(3 square root x^2)-4
First, we'll simplify the exponent: (3 square root x)^0 = 1.
Now we have:
1/(3 square root x^2)-4
Next, we'll simplify the denominator:
(3 square root x^2)-4 = 3x-4
Now we have:
1/(3x-4)
This expression is not equivalent to x 8/3.
Therefore, the answer is no, the expression (3 square root x)^0/(3 square root x^2)-4 is not equivalent to x 8/3.