91Ó°ÊÓ

Exer. 15-18: The given numbers are coordinates of points \(\boldsymbol{A}, \boldsymbol{B}\), and \(\boldsymbol{C}\), respectively, on a coordinate line. Find the distance. (a) \(d(A, B)\) (b) \(d(\boldsymbol{B}, \boldsymbol{C})\) (c) \(d(\boldsymbol{C}, \boldsymbol{B})\) (d) \(d(A, C)\) $$ -6,-2,4 $$

Write the expression in the form \(a+b i\), where \(a\) and \(b\) are real numbers. (a) \(i^{92}\) (b) \(i^{-33}\)

Exer. 11-46: Simplify. $$ \left(-4 b^{3}\right)\left(\frac{1}{6} b^{2}\right)\left(-9 b^{4}\right) $$

Express as a polynomial. $$ (2 x-1)\left(x^{2}-5\right)\left(x^{3}-1\right) $$

Write the expression in the form \(a+b i\), where \(a\) and \(b\) are real numbers. (a) \(i^{73}\) (b) \(i^{-46}\)

Exer. 15-18: The given numbers are coordinates of points \(\boldsymbol{A}, \boldsymbol{B}\), and \(\boldsymbol{C}\), respectively, on a coordinate line. Find the distance. (a) \(d(A, B)\) (b) \(d(\boldsymbol{B}, \boldsymbol{C})\) (c) \(d(\boldsymbol{C}, \boldsymbol{B})\) (d) \(d(A, C)\) $$ -9,1,10 $$

Exer. 11-46: Simplify. $$ \frac{\left(6 x^{3}\right)^{2}}{\left(2 x^{2}\right)^{3}} \cdot\left(3 x^{2}\right)^{0} $$

Express as a polynomial. $$ \frac{8 x^{2} y^{3}-10 x^{3} y}{2 x^{2} y} $$

Write the expression in the form \(a+b i\), where \(a\) and \(b\) are real numbers. (a) \(i^{66}\) (b) \(i^{-55}\)

Exer. 15-18: The given numbers are coordinates of points \(\boldsymbol{A}, \boldsymbol{B}\), and \(\boldsymbol{C}\), respectively, on a coordinate line. Find the distance. (a) \(d(A, B)\) (b) \(d(\boldsymbol{B}, \boldsymbol{C})\) (c) \(d(\boldsymbol{C}, \boldsymbol{B})\) (d) \(d(A, C)\) $$ 8,-4,-1 $$