91Ó°ÊÓ

$$\text { Factor completely.}$$ $$(x-y)^{4}-4(x-y)^{2}$$

Simplify each exponential expression. Assume that variables represent nonzero real numbers. $$\left(\frac{x^{3} y^{4} z^{5}}{x^{-3} y^{-4} z^{-5}}\right)^{-2}$$

Will help you prepare for the material covered in the first section of the next chapter. If \(y=1-x^{2},\) find the value of \(y\) that corresponds to values of \(x\) for each integer starting with \(-3\) and ending with 3.

$$\text { Factor completely.}$$ $$(x+y)^{4}-100(x+y)^{2}$$

Use the order of operations to simplify each expression. $$10^{2}-100 \div 5^{2} \cdot 2-3$$

In Exercises \(111-114\), simplify each expression. Assume that all variables represent positive numbers. $$\left(8 x^{-6} y^{3}\right)^{\frac{1}{3}}\left(x^{\frac{5}{6}} y^{-\frac{1}{3}}\right)^{6}$$

Perform the indicated operations. $$[(3 x+y)+1]^{2}$$

Will help you prepare for the material covered in the first section of the next chapter. If \(y=|x+1|,\) find the value of \(y\) that corresponds to values of \(x\) for each integer starting with \(-4\) and ending with 2.

Simplify each exponential expression. Assume that variables represent nonzero real numbers. $$\left(\frac{x^{4} y^{5} z^{6}}{x^{-4} y^{-5} z^{-6}}\right)^{-4}$$

In Exercises \(111-114\), simplify each expression. Assume that all variables represent positive numbers. $$\left(\frac{x^{-\frac{5}{4}} y^{\frac{1}{3}}}{x^{-\frac{3}{4}}}\right)^{-6}$$