91Ó°ÊÓ

Solve. See the Concept Checks in this section. For Exercises III through \(114,\) match the expression with the operation needed to simplify each. A letter may be used more than once and a letter may not be used at all. $$ x^{14}+x^{23} $$ a. Add the exponents b. Subtract the exponents c. Multiply the exponents d. Divide the exponents e. None of these

If \(P(x)=3 x+3, Q(x)=4 x^{2}-6 x+3,\) and \(R(x)=5 x^{2}-7\) find the following. $$ Q(x)-R(x) $$

Simplify. $$ \left(2 a^{3}\right)^{3} a^{4}+a^{5} a^{8} $$

If \(P(x)=3 x+3, Q(x)=4 x^{2}-6 x+3,\) and \(R(x)=5 x^{2}-7\) find the following. $$ P(x)-Q(x) $$

Solve. See the Concept Checks in this section. For Exercises III through \(114,\) match the expression with the operation needed to simplify each. A letter may be used more than once and a letter may not be used at all. $$ \frac{x^{35}}{x^{17}} $$ a. Add the exponents b. Subtract the exponents c. Multiply the exponents d. Divide the exponents e. None of these

Simplify. $$ \left(2 a^{3}\right)^{3} a^{-3}+a^{11} a^{-5} $$

Fill in the boxes so that each statement is true. (More than one answer is possible for these exercises). $$ x^{\square}=\frac{1}{x^{5}} $$

If \(P(x)=3 x+3, Q(x)=4 x^{2}-6 x+3,\) and \(R(x)=5 x^{2}-7\) find the following. $$ 2[Q(x)]-R(x) $$

Fill in the boxes so that each statement is true. (More than one answer is possible for each exercise.) $$ \left(x^{\square}\right)^{\square}=x^{20} $$

If \(P(x)=3 x+3, Q(x)=4 x^{2}-6 x+3,\) and \(R(x)=5 x^{2}-7\) find the following. $$ -5[P(x)]-Q(x) $$