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Chapter 1: Q40. (page 13)

Evaluate the expression 123.

Short Answer

Expert verified

The value of the expression123 is 1728.

Step by step solution

01

Step 1. Apply the formula for breaking integral powers.

For any real number 鈥榓鈥� with the integer power 鈥榥鈥� of the form ancan be expressed as:

an=a脳a脳a脳..................ntimes.

02

Step 2. Example of breaking integral powers.

The expression34 can be written as 34=3脳3脳3脳3鈥夆赌夆赌�(4迟颈尘别蝉)which is 81.

03

Step 3. Calculation using the property.

Applying the formulae,

123=12脳12脳12

The expression is now multiplied. Thus,

12脳12脳12=1728

鈭�123=1728

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