Question

Dividing Radical Expressions help pretty please? :)

Answer 1

Brian is creating a collage on a piece of cardboard that has an area of 160r^4 square centimeters. The collage is covered entirely by pieces of paper that do not overlap. Each piece has an area of sqrt(r^7) square centimeters. Use the given information to determine an expression for the total number of pieces of paper used.

Answer 2

\(\bf \cfrac{16r^4}{\sqrt{r^7}} \ \ ?\)

Answer 3

Yes :)

Answer 4

How do you solve it step by step?

Answer 5

$$\bf
\cfrac{16r^4}{\sqrt{r^7}}\\
\color{blue}{
r^7 \implies r^2 \times r^2 \times r^2 \times r \implies
(r^2)^3\times r\\
\sqrt{r^7} \implies \sqrt{(r^2)^3\times r} \implies r^3\sqrt{r}\\
}
\cfrac{16r^4}{\sqrt{r^7}} \implies \cfrac{16\cancel{r^4}}{\cancel{r^3}\sqrt{r}}\\
\cfrac{16r}{\sqrt{r}} \times \cfrac{\sqrt{r}}{\sqrt{r}}
\implies \cfrac{16\cancel{r}\sqrt{r}}{\cancel{r}}
$$