# Dr. Auth's Section 6.2

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### 1

Find the product of:
$(2a^3/5b)(3a^2/7b)$

### 2

What is the quotent of $\frac {26x^4y^2}{13xy}$


1)$2x^4y^2$

2)$13x^5y^3$

3)$2x^3y$

4)$13x^3y$

### 4

$1.4(xy^2)^3 * 2.6xy^3=$

(1)$3.77x^4y^9$
(2)$4.05x^4y^9$
(3)$3.77x^3y^18$
(4)$4.05x^3y^-9$

### 5

if $14x^{3}$-35x^{2}+7x is divided by 7x (x does not=7) the quotxient is?

### 6

chad had a garden that was in the shape of a rectangle. its length was twice its width. he decided to make a new garden that was 2 fett longer and 2 feet wider than the first garden. if $x$ represents the original width of the garden, which expression represemts the difference between the area of the new garden and the area of the original garden? (2)$2x^2$

### 11

$3x^5/-27x^4$

(5w-8)(5w+8)

### 22

18r^4 - 27r^3s^2 / 9rs

### 27

in the accompanying diagram, the width of the inner rectangle is represented by x and the length by 12x-1. the width of the outer rectangle is represented by x+3 and the length x+5.

a) express the area of the shaded region as a trinomial in terms of x.

b)if the perimeter of the outer rectangle is 24, what is the value of x?

c)what is the area, in square units, of the shaded region.

d)the area of the inner rectangle is what percent, correct to the Italic text nearest tenth Italic text of a percent, of the area of the outer rectangle?