If you're being asked to do this, you know the inverse operations for all of those that are shown in these problems. You have worked the first two problems, which require inverse operations for addition and multiplication.
Problems (c) and (e) require inverse operations of roots and powers. These are inverses of each other: a root is the inverse operation of a power, and vice versa. The index of the root will be that of the power.
[tex] x = \sqrt[3]{x^{3}} = (\sqrt[3]{x})^{3}[/tex]
Consider the order of operations done to the variable you're solving for. It may help to actually list them. Then "undo" each of those operations in reverse order.
(c) Undo the cube root by raising both sides of the equation to the 3rd power.
.. y^3 = n
(e) Undo the multiplication by dividing by the factor of r^3. The cube root both sides of the equation.
[tex] r = \sqrt[3]{\frac{3V}{4 \pi}}[/tex]
For problems like (h) and (i), it may help to use the distributive property to eliminate the parentheses. Then you use the same techniques you used for (a) and (b).
