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Q9.

Expert-verifiedFound in: Page 274

Book edition
Common Core Edition

Author(s)
Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages
183 pages

ISBN
9780547587776

**Write the fraction in simplest form.**

**$\frac{{a}^{3}{b}^{2}{c}^{2}}{b{c}^{2}}$**

The simplest form of $\frac{{a}^{3}{b}^{2}{c}^{2}}{b{c}^{2}}$ is ${a}^{3}b$ .

The given fraction is$\frac{{a}^{3}{b}^{2}{c}^{2}}{b{c}^{2}}$ .

We have to convert the fraction in the simplest form

We factor the numerator and denominator completely. Then we cancel the common terms.

$\begin{array}{c}\frac{{a}^{3}{b}^{2}{c}^{2}}{b{c}^{2}}=\frac{a\cdot a\cdot a\cdot b\cdot b\cdot c\cdot c}{b\cdot c\cdot c}\\ {\text{=a}}^{3}\text{b}\end{array}$

So, the simplest form of $\frac{{a}^{3}{b}^{2}{c}^{2}}{b{c}^{2}}$ is ${a}^{3}b$ .

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