Q. 109 (a)b4b-8(b)(w4x-5)(w-2x-4)(c)(-6... [FREE SOLUTION]

91影视

Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q. 109 (page 521)

(a) $b^{4} b^{- 8}$
(b) $(w^{4} x^{- 5}) (w^{- 2} x^{- 4})$
(c) $(- 6 c^{- 3} d^{9}) (2 c^{4} d^{- 5})$

Short Answer

Expert verified

(a) $b^{- 4}$

(b) $w^{2} x^{- 9}$

Step by step solution

Part (a) Step 1 . Given Information

The given expression is :

$b^{4} b^{- 8}$ , we need to simplify the expression.

Part (a) Step 2 . Product Property

If $a$ is a real number and $m$ and $n$ are integers, then :

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

Part (a) Step 3 . Simplify the expression

By using the Product Property :

$b^{4} b^{- 8} = b^{4 + (- 8)}$

$b^{4 - 8} = b^{- 4}$

Part (b) Step 1 . Given Information

The given expression is : $(w^{4} x^{- 5}) (w^{- 2} x^{- 4})$ , we need to simplify the expression.

Part (b) Step 2 . Product Property

If $a$ is real number and $m$ and $n$ are integers, then :

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

Part (b) Step 3 . Simplify the expression

By using the Product Property :

$(w^{4} x^{- 5}) (w^{- 2} x^{- 4}) = w^{4 + (- 2)} x^{- 5 + (- 4)}$

$w^{4 - 2} x^{- 5 - 4} = w^{2} x^{- 9}$

Part (c) Step 1 . Given Information

The given expression is :

$(- 6 c^{- 3} d^{9}) (2 c^{4} d^{- 5})$ , we need to simplify the expression.

Part (c) Step 2 . Product Property

If $a$ is a real number and $m$ and $n$ are integers, then :

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

Part (c) Step 3 . Simplify the expression

By using the Product Property :

$(- 6 c^{- 3} d^{9}) (2 c^{4} d^{- 5}) = (- 6.2 c^{- 3 + 4}) (d^{9 + (- 5)})$

$- 12 c^{1} d^{9 - 5} = - 12 c d^{4}$

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91影视

(a) $b^{4} b^{- 8}$
(b) $(w^{4} x^{- 5}) (w^{- 2} x^{- 4})$
(c) $(- 6 c^{- 3} d^{9}) (2 c^{4} d^{- 5})$

Short Answer

Step by step solution

Part (a) Step 1 . Given Information

Part (a) Step 2 . Product Property

Part (a) Step 3 . Simplify the expression

Part (b) Step 1 . Given Information

Part (b) Step 2 . Product Property

Part (b) Step 3 . Simplify the expression

Part (c) Step 1 . Given Information

Part (c) Step 2 . Product Property

Part (c) Step 3 . Simplify the expression

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91影视

(a)b4b-8(b)(w4x-5)(w-2x-4)(c)(-6c-3d9)(2c4d-5)

Short Answer

Step by step solution

Part (a) Step 1 . Given Information

Part (a) Step 2 . Product Property

Part (a) Step 3 . Simplify the expression

Part (b) Step 1 . Given Information

Part (b) Step 2 . Product Property

Part (b) Step 3 . Simplify the expression

Part (c) Step 1 . Given Information

Part (c) Step 2 . Product Property

Part (c) Step 3 . Simplify the expression

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Probability and Statistics

Geometry

Calculus

Decision Maths

Pure Maths

Study anywhere. Anytime. Across all devices.

(a) $b^{4} b^{- 8}$
(b) $(w^{4} x^{- 5}) (w^{- 2} x^{- 4})$
(c) $(- 6 c^{- 3} d^{9}) (2 c^{4} d^{- 5})$