Q576 Simplify : a)聽t125t75聽b)鈥墄32... [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: Q576 (page 1144)

Simplify : $a) \frac{t^{\frac{12}{5}}}{t^{\frac{7}{5}}} b) 鈥� \frac{x^{\frac{3}{2}}}{x^{\frac{1}{2}}} c) \frac{m^{\frac{13}{8}}}{m^{\frac{5}{8}}} .$

Short Answer

Expert verified

$P a r t a) \frac{t^{\frac{12}{5}}}{t^{\frac{7}{5}}} = t P a r t b) \frac{x^{\frac{3}{2}}}{x^{\frac{1}{2}}} = x P a r t c) \frac{m^{\frac{13}{8}}}{m^{\frac{5}{8}}} = m$

Step by step solution

Part (a)Step 1:Given information

The given expression is $\frac{t^{\frac{12}{5}}}{t^{\frac{7}{5}}} .$

Part (a)Step 2:Simplification

$\frac{t^{\frac{12}{5}}}{t^{\frac{7}{5}}} = t^{\frac{12}{5} - \frac{7}{5}} = t^{\frac{12 - 7}{5}} = t^{\frac{5}{5}} = t H e n c e, \frac{t^{\frac{12}{5}}}{t^{\frac{7}{5}}} = t .$

Part (b)Step 1:Given information

The given expression is $\frac{x^{\frac{3}{2}}}{x^{\frac{1}{2}}} .$

Part (b)Step 2:Simplification

$\frac{x^{\frac{3}{2}}}{x^{\frac{1}{2}}} = x^{\frac{3}{2} - \frac{1}{2}} = x^{\frac{3 - 1}{2}} = x H e n c e, \frac{x^{\frac{3}{2}}}{x^{\frac{1}{2}}} = x .$

Part (c)Step 1:Given information

The given expression is $\frac{m^{\frac{13}{8}}}{m^{\frac{5}{8}}} .$

Part (c) Step 2:Simplification

$\frac{m^{\frac{13}{8}}}{m^{\frac{5}{8}}} = m^{\frac{13}{8} - \frac{5}{8}} = m^{\frac{13 - 5}{8}} = m H e n c e, \frac{m^{\frac{13}{8}}}{m^{\frac{5}{8}}} = m .$

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91影视

Simplify : $a) \frac{t^{\frac{12}{5}}}{t^{\frac{7}{5}}} b) 鈥� \frac{x^{\frac{3}{2}}}{x^{\frac{1}{2}}} c) \frac{m^{\frac{13}{8}}}{m^{\frac{5}{8}}} .$

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)t125t75b)鈥�x32x12c)m138m58.

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

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Theoretical and Mathematical Physics

Statistics

Applied Mathematics

Calculus

Decision Maths

Study anywhere. Anytime. Across all devices.

Simplify : $a) \frac{t^{\frac{12}{5}}}{t^{\frac{7}{5}}} b) 鈥� \frac{x^{\frac{3}{2}}}{x^{\frac{1}{2}}} c) \frac{m^{\frac{13}{8}}}{m^{\frac{5}{8}}} .$