Chapter 7: Q12. (page 460)

Simplify the given expression.
$(2 x y) (- 3 x^{2} y^{5})$

Short Answer

Expert verified

The final expression is $- 6 x^{3} y^{6}$ .

Step by step solution

Step 1. Define an expression.

A mathematical expression is a combinations of numbers and variables ordered with mathematical operations.

Step 2. Define the meaning of power of a product rule.

Power of a product rule states that if the two exponents of the same base are multiplied then the exponents are added and base remains the same.

$a^{m} . a^{n} = a^{m + n}$

Where, $a$ is any non-zero real number.

Step 3. Simplify the expression 2xy−3x2y5.

Use the power of a product rule to simplify the given expression.

$(2 x y) (- 3 x^{2} y^{5}) = (2) (x) (y) (- 3) (x^{2}) (y^{5}) = (2) (- 3) (x) (x^{2}) (y) (y^{5}) = - 6 (x^{1 + 2}) (y^{1 + 5}) = - 6 x^{3} y^{6}$

Hence, $(2 x y) (- 3 x^{2} y^{5}) = - 6 x^{3} y^{6}$ .

Therefore the final expression is $- 6 x^{3} y^{6}$ .

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Simplify the given expression.
$(2 x y) (- 3 x^{2} y^{5})$

Short Answer

Step by step solution

Step 1. Define an expression.

Step 2. Define the meaning of power of a product rule.

Step 3. Simplify the expression 2xy−3x2y5.

One App. One Place for Learning.

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Simplify the given expression.2xy−3x2y5

Short Answer

Step by step solution

Step 1. Define an expression.

Step 2. Define the meaning of power of a product rule.

Step 3. Simplify the expression 2xy−3x2y5.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Discrete Mathematics

Calculus

Logic and Functions

Probability and Statistics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Simplify the given expression.
$(2 x y) (- 3 x^{2} y^{5})$