Chapter 5: Q43. (page 227)

What value of r makes $y^{28} = y^{3 r} \cdot y^{7}$ true?

Short Answer

Expert verified

The value of $r = 7$ makes the given expressiontrue.

Step by step solution

Step 1. Write down the given information.

The given expression is $y^{28} = y^{3 r} \cdot y^{7}$ .

Step 2. Calculation.

Simplifying the given expression $y^{28} = y^{3 r} \cdot y^{7}$ .

$\begin{matrix} y^{28} = y^{3 r} \cdot y^{7} .... (Given) \\ y^{28} = y^{3 r + 7} \\ 28 = 3 r + 7.... (\begin{array}{l} If x^{a} = x^{b} \\ then a = b \end{array}) \\ 3 r = 28 - 7 \\ 3 r = 21 \\ r = 7 \end{matrix}$

Step 3. Conclusion.

The value of $r = 7$ makes the given expression true.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

What value of r makes $y^{28} = y^{3 r} \cdot y^{7}$ true?

Short Answer

Step by step solution

Step 1. Write down the given information.

Step 2. Calculation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Statistics

Pure Maths

Discrete Mathematics

Mechanics Maths

Geometry

Study anywhere. Anytime. Across all devices.

What value of r makesy28=y3r⋅y7 true?

Short Answer

Step by step solution

Step 1. Write down the given information.

Step 2. Calculation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Statistics

Pure Maths

Discrete Mathematics

Mechanics Maths

Geometry

Study anywhere. Anytime. Across all devices.

What value of r makes $y^{28} = y^{3 r} \cdot y^{7}$ true?