select the expression that is equivalent to y^-4/3

Answer:
C. [tex] \frac{1}{(\sqrt[3]{y})^4} [/tex]
Step-by-step explanation:
Given:
[tex] y^{-\frac{4}{3} [/tex]
Required:
Equivalent expression of [tex] y^{-\frac{4}{3} [/tex]
SOLUTION:
To find the equivalent of the given expression, simply the expression by applying the laws of exponents as follows:
First, apply the negative exponents rule, i.e. [tex] x^{-n} = \frac{1}{x^n} [/tex]
[tex] \frac{1}{y^{4/3}} [/tex]
Next, apply the power rule, i.e.
[tex] \frac{1}{(\sqrt[3]{y})^4} [/tex]