Q. 5.23 Simplify each expression:鈸惵燽9... [FREE SOLUTION]

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Intermediate Algebra

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OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q. 5.23 (page 502)

Simplify each expression:
$鈸� b^{9} 路 b^{8} 鈸� 4^{2 x} 路 4^{x} 鈸� 3 p^{5} 路 4 p 鈸� x^{6} 路 x^{4} 路 x^{8}$

Short Answer

Expert verified

The simplified expression of $b^{9} 路 b^{8} = b^{17}$ .

The simplified expression of $4^{2 x} 路 4^{x} = 4^{3 x}$

The simplified expression of $3 p^{5} 路 4 p = 12 p^{6}$

The simplified expression of $x^{6} 路 x^{4} 路 x^{8} = x^{18}$

Step by step solution

Step 1. Given Information

In the given question we have to simplify each expression:

鈸� b^{9} 路 b^{8} 鈸� 4^{2 x} 路 4^{x} 鈸� 3 p^{5} 路 4 p 鈸� x^{6} 路 x^{4} 路 x^{8}

Part(a) Step 1. Simplifying the expression b9·b8.

As we know $a^{m} 路 a^{n} = a^{m + n}$

Part(a) Step 2. The given expression is b9·b8.

Add the exponents, since bases are the same.

$b^{9} 路 b^{8} = b^{9 + 8}$

Simplifying the expression.

$b^{9} 路 b^{8} = b^{17}$

Part(b) Step 1. Simplifying the expression 42x·4x

As we know $a^{m} 路 a^{n} = a^{m + n}$

Part(b) Step 2. The given expression is 42x·4x

Add the exponents, since bases are the same.

$4^{2 x} 路 4^{x} = 4^{2 x + x}$

Simplifying the expression.

$4^{2 x} 路 4^{x} = 4^{3 x}$

Part(c) Step 1. Simplifying the expression 3p5·4p

As we know $a^{m} 路 a^{n} = a^{m + n}$

Part(c) Step 2. The given expression is 3p5·4p

Rewrite, $a = a^{1}$

$3 p^{5} 路 4 p = 3 p^{5} 路 4 p^{1}$

Use the Commutative Property and use the Product Property

$3 p^{5} 路 4 p = 3 路 4 路 p^{5} 路 p^{1} 3 p^{5} 路 4 p = 3 路 4 路 p^{5 + 1}$

Simplifying the expression.

$3 p^{5} 路 4 p = 12 p^{6}$

Part(d) Step 1. Simplifying the expression x6·x4·x8

As we know $a^{m} 路 a^{n} = a^{m + n}$

Part(d) Step 2. The given expression is x6·x4·x8

Add the exponents, since bases are the same.

$x^{6} 路 x^{4} 路 x^{8} = x^{6 + 4 + 8}$

Simplifying the expression.

$x^{6} 路 x^{4} 路 x^{8} = x^{18}$

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91影视

Simplify each expression:
$鈸� b^{9} 路 b^{8} 鈸� 4^{2 x} 路 4^{x} 鈸� 3 p^{5} 路 4 p 鈸� x^{6} 路 x^{4} 路 x^{8}$

Short Answer

Step by step solution

Step 1. Given Information

Part(a) Step 1. Simplifying the expression b9·b8.

Part(a) Step 2. The given expression is b9·b8.

Part(b) Step 1. Simplifying the expression 42x·4x

Part(b) Step 2. The given expression is 42x·4x

Part(c) Step 1. Simplifying the expression 3p5·4p

Part(c) Step 2. The given expression is 3p5·4p

Part(d) Step 1. Simplifying the expression x6·x4·x8

Part(d) Step 2. The given expression is x6·x4·x8

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91影视

Simplify each expression:鈸�b9路b8鈸�42x路4x鈸�3p5路4p鈸�x6路x4路x8

Short Answer

Step by step solution

Step 1. Given Information

Part(a) Step 1. Simplifying the expression b9·b8.

Part(a) Step 2. The given expression is b9·b8.

Part(b) Step 1. Simplifying the expression 42x·4x

Part(b) Step 2. The given expression is 42x·4x

Part(c) Step 1. Simplifying the expression 3p5·4p

Part(c) Step 2. The given expression is 3p5·4p

Part(d) Step 1. Simplifying the expression x6·x4·x8

Part(d) Step 2. The given expression is x6·x4·x8

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Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

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Decision Maths

Applied Mathematics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Simplify each expression:
$鈸� b^{9} 路 b^{8} 鈸� 4^{2 x} 路 4^{x} 鈸� 3 p^{5} 路 4 p 鈸� x^{6} 路 x^{4} 路 x^{8}$