Chapter 1.2, Problem 95E

(a)

To determine

The sign of expression $b^5$ such that $a,b\text{ and }c$ are real numbers and $a>0,b<0\text{ and }c<0$.

(b)

To determine

The sign of expression $b^{10}$ such that $a,b\text{ and }c$ are real numbers and $a>0,b<0\text{ and }c<0$.

(c)

To determine

The sign of expression $a{b}^2{c}^3$ such that $a,b\text{ and }c$ are real numbers and $a>0,b<0\text{ and }c<0$.

(d)

To determine

The sign of expression ${\left(b-a\right)}^3$ such that $a,b\text{ and }c$ are real numbers and $a>0,b<0\text{ and }c<0$.

(e)

To determine

The sign of expression ${\left(b-a\right)}^4$ such that $a,b\text{ and }c$ are real numbers and $a>0,b<0\text{ and }c<0$.

(f)

To determine

The sign of expression $\frac{a^3{c}^3}{b^6{c}^6}$ such that $a,b\text{ and }c$ are real numbers and $a>0,b<0\text{ and }c<0$.