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Chapter 7: Q27. (page 405)

(q2)(2q4)

Short Answer

Expert verified

The simplified version of (q2)(2q4)is 2q6.

Step by step solution

01

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:xm脳xn=xm+n

02

Step 2. Simplify the expression.

Apply the multiplication rule to simplify the given expression.

(q2)(2q4)=2(q2)(q4)=2(q2+4)=2q6

03

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(2q4)=2q6

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