Chapter 11: Q. 31 (page 1069)

Multiply the rational expressions $\frac{5 x^{2} y^{4}}{12 x y^{3}} \times \frac{6 x^{2}}{20 y^{2}}$

Short Answer

Expert verified

The simplified form of form of rational expressions $\frac{5 x^{2} y^{4}}{12 x y^{3}} \times \frac{6 x^{2}}{20 y^{2}} i s \frac{x^{3}}{8 y} .$

Step by step solution

. Given information

Given expressions are $\frac{5 x^{2} y^{4}}{12 x y^{3}} a n d \frac{6 x^{2}}{20 y^{2}}$ .

We have to multiply these expressions.

. Multiplication of rational expressions

To simplify first multiply numerators and denominators and then simplify by dividing out the common factors. Hence multiplied form of given rational expressions is $\frac{5 x^{2} y^{4}}{12 x y^{3}} \times \frac{6 x^{2}}{20 y^{2}} = \frac{5 x^{2} y^{4} \times 6 x^{2}}{12 x y^{3} \times 20 y^{2}} = \frac{5 \times 6 x^{4} y^{4}}{12 \times 20 x y^{5}}, \sin c e a^{m} \times a^{n} = a^{m + n} = \frac{x^{3}}{8 y}, d i v i d e o u t t h e c o m m o n f a c t o r s$

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Multiply the rational expressions $\frac{5 x^{2} y^{4}}{12 x y^{3}} \times \frac{6 x^{2}}{20 y^{2}}$

Short Answer

Step by step solution

. Given information

. Multiplication of rational expressions

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Multiply the rational expressions5x2y412xy3×6x220y2

Short Answer

Step by step solution

. Given information

. Multiplication of rational expressions

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Multiply the rational expressions $\frac{5 x^{2} y^{4}}{12 x y^{3}} \times \frac{6 x^{2}}{20 y^{2}}$