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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(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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(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

Theoretical and Mathematical Physics

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Calculus

Study anywhere. Anytime. Across all devices.

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