Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 9: Q 9.225. (page 1137)

Simplify:
a) $3^{\frac{2}{3}} . 3^{\frac{4}{3}}$
b) $y^{\frac{1}{3}} . y^{\frac{8}{3}}$
c) $m^{\frac{1}{4}} . m^{\frac{3}{4}}$

Short Answer

Expert verified

a) $3^{\frac{2}{3}} . 3^{\frac{4}{3}} = 9$

b) $y^{\frac{1}{3}} . y^{\frac{8}{3}} = y^{3}$

c) $m^{\frac{1}{4}} . m^{\frac{3}{4}} = m$

Step by step solution

Part (a) Step 1: Given Information

The given expression is $3^{\frac{2}{3}} . 3^{\frac{4}{3}}$

Part (a) Step 2: Simplification

The bases are same, add the exponents.

$3^{\frac{2}{3}} . 3^{\frac{4}{3}} = 3^{\frac{2}{3} + \frac{4}{3}}$

$= 3^{\frac{6}{3}}$

$= 3^{2}$

$= 9$

Part (b) Step 1: Given Information

The given expression is $y^{\frac{1}{3}} . y^{\frac{8}{3}}$

Part (b) Step 2: Simplification

The bases are same, add the exponents.

$y^{\frac{1}{3}} . y^{\frac{8}{3}} = y^{\frac{1}{3} + \frac{8}{3}}$

$= y^{\frac{1 + 8}{3}}$

$= y^{\frac{9}{3}}$

$= y^{3}$

Part (c) Step 1: Given Information

The given expression is $m^{\frac{1}{4}} . m^{\frac{3}{4}}$

Part (c) Step 2: Simplification

The bases are same, add the exponents

$= m^{\frac{1}{4} + \frac{3}{4}}$

$= m^{\frac{1 + 3}{4}}$

$= m^{\frac{4}{4}}$

$= m$

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91影视

Simplify:
a) $3^{\frac{2}{3}} . 3^{\frac{4}{3}}$
b) $y^{\frac{1}{3}} . y^{\frac{8}{3}}$
c) $m^{\frac{1}{4}} . m^{\frac{3}{4}}$

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) 323.343b) y13.y83c)m14.m34

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

Statistics

Theoretical and Mathematical Physics

Discrete Mathematics

Geometry

Calculus

Study anywhere. Anytime. Across all devices.

Simplify:
a) $3^{\frac{2}{3}} . 3^{\frac{4}{3}}$
b) $y^{\frac{1}{3}} . y^{\frac{8}{3}}$
c) $m^{\frac{1}{4}} . m^{\frac{3}{4}}$