Q 568. Simplify : a)聽512.572聽b)聽c34.... [FREE SOLUTION]

91影视

Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 9: Q 568. (page 1144)

Simplify : $a) 5^{\frac{1}{2}} . 5^{\frac{7}{2}} b) c^{\frac{3}{4}} . c^{\frac{9}{4}} c) d^{\frac{3}{5}} . d^{\frac{2}{5}} .$

Short Answer

Expert verified

$P a r t a) 5^{\frac{1}{2}} . 5^{\frac{7}{2}} = 625 . P a r t b) c^{\frac{3}{4}} . c^{\frac{9}{4}} = c^{4} . P a r t c) d^{\frac{3}{5}} . d^{\frac{2}{5}} = d .$

Step by step solution

Part (a) Step 1 : Given Information

The given expression is $5^{\frac{1}{2}} . 5^{\frac{7}{2}} .$

Part (a) Step 2: Simplification

$5^{\frac{1}{2}} . 5^{\frac{7}{2}} = 5^{\frac{1}{2} + \frac{7}{2}} = 5^{\frac{8}{2}} = 5^{4} = 625 H e n c e, 5^{\frac{1}{2}} . 5^{\frac{7}{2}} = 625 .$

Part (b) Step 1: Given information

The given expression is $c^{\frac{3}{4}} . c^{\frac{9}{4}} .$

Part (b) Step 2: Simplification

$c^{\frac{3}{4}} . c^{\frac{9}{4}} = c^{\frac{3}{4} + \frac{9}{4}} = c^{\frac{12}{4}} = c^{3} H e n c e, c^{\frac{3}{4}} . c^{\frac{9}{4}} = c^{3} .$

Part (c) Step 1: Given information

The given expression is $d^{\frac{3}{5}} . d^{\frac{2}{5}} .$

Part (c) Step 2: Simplification

$d^{\frac{3}{5}} . d^{\frac{2}{5}} = d^{\frac{3}{5} + \frac{2}{5}} = d^{\frac{3 + 2}{5}} = d H e n c e, d^{\frac{3}{5}} . d^{\frac{2}{5}} = d .$

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91影视

Simplify : $a) 5^{\frac{1}{2}} . 5^{\frac{7}{2}} b) c^{\frac{3}{4}} . c^{\frac{9}{4}} c) d^{\frac{3}{5}} . d^{\frac{2}{5}} .$

Short Answer

Step by step solution

Part (a) Step 1 : Given Information

Part (a) Step 2: Simplification

Part (b) Step 1: Given information

Part (b) Step 2: Simplification

Part (c) Step 1: Given information

Part (c) Step 2: Simplification

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91影视

Simplify : a)512.572b)c34.c94c)d35.d25.

Short Answer

Step by step solution

Part (a) Step 1 : Given Information

Part (a) Step 2: Simplification

Part (b) Step 1: Given information

Part (b) Step 2: Simplification

Part (c) Step 1: Given information

Part (c) Step 2: Simplification

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Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

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Decision Maths

Statistics

Study anywhere. Anytime. Across all devices.

Simplify : $a) 5^{\frac{1}{2}} . 5^{\frac{7}{2}} b) c^{\frac{3}{4}} . c^{\frac{9}{4}} c) d^{\frac{3}{5}} . d^{\frac{2}{5}} .$