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Chapter 7: Q14. (page 460)

Simplify each expression.

6x3y22

Short Answer

Expert verified

The expression 6x3y22can be simplified as width="53">36x6y4.

Step by step solution

01

Step 1. Write property of power of a product.

For any real number x, y and any integer n, xyn=xnyn.

02

Step 2. Apply the property of power of a product.

Apply the property of power of a product to the given expression.

62x32y22

03

Step 3. Write the property of power of a power.

For any real number a and any integers m and n,amn=am鈰�n

04

Step 4. Apply the property of power of a power.

Apply the property of power of a power to the expression in step 2.

62鈰�1x3鈰�2y2鈰�2

05

Step 5. Simplify the obtained expression.

Simplify the expression in step.

36x6y4

Therefore,6x3y22 can be simplified to 36x6y4.

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