Chapter 7: Q27. (page 405)

$(q^{2}) (2 q^{4})$

Short Answer

Expert verified

The simplified version of $(q^{2}) (2 q^{4})$ is $2 q^{6}$ .

Step by step solution

Step 1. State the multiplication rule of Law of indices.

If the two terms having the same base are multiplied together, then their indices are added.

In general: $x^{m} \times x^{n} = x^{m + n}$

Step 2. Simplify the expression.

Apply the multiplication rule to simplify the given expression.

$\begin{matrix} (q^{2}) (2 q^{4}) = 2 (q^{2}) (q^{4}) \\ = 2 (q^{2 + 4}) \\ = 2 q^{6} \end{matrix}$

Step 3. State the conclusion.

As there are no other variables, just add the powers of variable q and the expression is simplified.

$(q {}^{2}) (2 q^{4}) = 2 q^{6}$

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.

$(q^{2}) (2 q^{4})$

Short Answer

Step by step solution

Step 1. State the multiplication rule of Law of indices.

Step 2. Simplify the expression.

Step 3. State the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Discrete Mathematics

Pure Maths

Calculus

Decision Maths

Mechanics Maths

Study anywhere. Anytime. Across all devices.

(q2)(2q4)

Short Answer

Step by step solution

Step 1. State the multiplication rule of Law of indices.

Step 2. Simplify the expression.

Step 3. State the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Discrete Mathematics

Pure Maths

Calculus

Decision Maths

Mechanics Maths

Study anywhere. Anytime. Across all devices.

$(q^{2}) (2 q^{4})$