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Chapter 0: Problem 39
Simplify each exponential expression. $$\left(8 x^{3}\right)^{2}$$
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Your computer store is having an incredible sale. The price on one model is reduced by \(40 \% .\) Then the sale price is reduced by another \(40 \% .\) If \(x\) is the computer's original price, the sale price can be modeled by $$(x-0.4 x)-0.4(x-0.4 x)$$ a. Factor out \((x-0.4 x)\) from each term. Then simplify the resulting expression. b. Use the simplified expression from part (a) to answer these questions. With a \(40 \%\) reduction followed by a \(40 \%\) reduction, is the computer selling at \(20 \%\) of its original price? If not, at what percentage of the original price is it selling?
Evaluate each algebraic expression for the given value or values of the variable(s). $$4+5(x-7)^{3}, \text { for } x=9$$
Use the distributive property to multiply: $$2 x^{4}\left(8 x^{4}+3 x\right)$$
Rewrite each expression without absolute value bars. $$|-203|$$
Factor the numerator and the denominator. Then simplify by dividing out the common factor in the numerator and the denominator. $$\frac{x^{2}+6 x+5}{x^{2}-25}$$
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