Answer:
I don't understand,
Explanation:
is it true ? first we want to simplify the expression in the numerator. Since the term (x2z) is being raised to the 1/4 power, we multiply the exponents of each variable to give us a simplified power. The denominator is already simplified. This gives us
x2*1/4z1/4/x-1/2z1/2
x1/2z1/4/x-1/2z1/2
To further simplify from this point, we make use of the fact that xA/xB=xA-B. That is, the power of exponential terms divided by terms with the same base is equal to the difference in the exponents. We do this for both x and z.
x1/2-(-1/2)z1/4-1/2
We recognize that the subtraction of a negative term in a power of x leads us to add the two terms, and we find a common denominator, 4, to subtract the powers of z. We find
x1z-1/4
The power of 1 in the x term gives us our base, x, and the power of -1/4 in the z term can be rewritten as a positive exponent in the denominator of our simplified expression. This gives the answer
x/z1/4