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Chapter 7: Q18. (page 460)

Simplify each expression.

122x33

Short Answer

Expert verified

The expression122x33 can be simplified as 4x9.

Step by step solution

01

Step 1. Write the property of power of a power.

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

02

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

Apply the property of power of a power to the expression in step 1.

12鈰�21鈰�3x3鈰�3=22x9

03

Step 3. Simplify obtained expression.

Simplify the obtained expression in step 2.

4x9

Therefore,122x33 can be simplified to width="26" height="22" role="math">4x9.

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