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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 5: Q. 261 (page 538)

In the following exercises , simplify the expression $(\frac{1}{4} d^{5}) (36 d^{2})$ .

Short Answer

Expert verified

The simplified expression is $9 d^{7}$ .

Step by step solution

01

Step 1. Given Information .

The given expression is $(\frac{1}{4} d^{5}) (36 d^{2})$ .

02

Step 2. Simplify the given expression.

Simplify the expression $(\frac{1}{4} d^{5}) (36 d^{2})$

$\begin{array}{rcl} \frac{1}{4} \cdot 36 d^{5 + 2} & = & \frac{1}{4} \cdot 36 d^{7} \\ \frac{1}{4} \cdot 36 d^{7} & = & 9 d^{7} \end{array}$

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Most popular questions from this chapter

In the following exercises, find the product of ${(m^{3} - 8 n)}^{2}$ .

Use the Product Property for Exponents to explain $x \cdot x = x^{2}$

Determine whether each polynomial is a monomial, binomial, trinomial, or other polynomial. Then, find the degree of each polynomial $(a) - 5 (b) 8 y^{3} - 7 y^{2} - y - 3 (c) - 3 x^{2} y - 5 x y + 9 x y^{3} (d) 81 m^{2} - 4 n^{2} (e) - 3 x^{6} y^{3} z$

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