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Chapter 7: Q13. (page 460)

Simplify each expression.

鈭�4ab4鈭�5a5b2

Short Answer

Expert verified

The expression鈭�4ab4鈭�5a5b2 can be simplified as 20a6b6.

Step by step solution

01

Step 1. Group the coefficients and the variables.

Group the coefficients and variables in the given expression.

鈭�4鈰�鈭�5a鈰�a5b4鈰�b2

02

Step 2. Write the property of product of powers.

For any real number a and any integers m and n, am鈰�an=am+n.

03

Step 3. Apply property of product of powers.

Apply the property of product of powers to the expression obtained in step 1.

4鈰�5a1+5b4+2

04

Step 4. Simplify obtained expression.

Simplify the obtained expression in step 3.

20a6b6

Therefore,鈭�4ab4鈭�5a5b2 can be simplified to 20a6b6.

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