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Chapter 1: Q16. (page 15)

Evaluate the expression 143.

Short Answer

Expert verified

The value of the expression143 is 2744.

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 forman can be expressed as:

an=a脳a脳a脳..................ntimes.

02

Step 2. Example of breaking integral powers.

The expression34 can be written as34=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,

143=14脳14脳14

The expression is now multiplied. Thus,

14脳14脳14=2744

鈭�143=2744

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