Chapter 5: Q. 179 (page 536)

In the following exercises, multiply the monomials.
$(a) (- 10 x^{5}) (- 3 x^{3}) (b) (\frac{5}{8} x^{3} y) (24 x^{5} y)$

Short Answer

Expert verified

The solution is

$(a) (- 10 x^{5}) (- 3 x^{3}) = 30 x^{8} (b) (\frac{5}{8} x^{3} y) (24 x^{5} y) = 15 x^{8} y^{2}$

Step by step solution

Part (a) Step 1. Given information

The given expression is

$(- 10 x^{5}) (- 3 x^{3})$

Part (a) Step 2. Simplify

Using commutative property to rearrange the terms

$(- 10 x^{5}) (- 3 x^{3}) = (- 10) \cdot (- 3) \cdot x^{5} \cdot x^{3} = 30 x^{5 + 3} = 30 x^{8}$

Part (b) Step 1. Given information

The given expression is

$(\frac{5}{8} x^{3} y) (24 x^{5} y)$

Part (b) Step 2. Simplify

Using commutative property to rearrange the terms

$(\frac{5}{8} x^{3} y) (24 x^{5} y) = \frac{5}{8} \cdot 24 \cdot x^{3} \cdot x^{5} \cdot y \cdot y = 15 x^{3 + 5} y^{2} = 15 x^{8} y^{2}$

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In the following exercises, multiply the monomials.
$(a) (- 10 x^{5}) (- 3 x^{3}) (b) (\frac{5}{8} x^{3} y) (24 x^{5} y)$

Short Answer

Step by step solution

Part (a) Step 1. Given information

Part (a) Step 2. Simplify

Part (b) Step 1. Given information

Part (b) Step 2. Simplify

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In the following exercises, multiply the monomials.a-10x5-3x3b58x3y24x5y

Short Answer

Step by step solution

Part (a) Step 1. Given information

Part (a) Step 2. Simplify

Part (b) Step 1. Given information

Part (b) Step 2. Simplify

One App. One Place for Learning.

Most popular questions from this chapter

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In the following exercises, multiply the monomials.
$(a) (- 10 x^{5}) (- 3 x^{3}) (b) (\frac{5}{8} x^{3} y) (24 x^{5} y)$