Final answer:
The simplified expression is y^(2/3)z^(-1/2).
Step-by-step explanation:
The given expression is (y^((-2)/(3))z^((1)/(2)))/(y^((-4)/(3))z). To simplify this expression with the same notation, we can subtract the exponents in the numerator and denominator since the base, which is y and z, is the same. Using the property of exponents, we have y^((-2)/(3) - (-4)/(3))z^((1)/(2) - 1). Simplifying further, we get y^((-2+4)/(3))z^((1/2)-1) which is equal to y^((2)/(3))z^((-1/2)).
Learn more about Simplifying Exponential Expressions