Arithmetic of Computers

Arithmetic of Computers

from Tenscope Limited

Lesson 2

The Arithmetic of Powers

Multiplication by addition, and division by subtraction

Page 59

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Your answer :
I don’t understand this.
Well, you agree, don’t you, that 72 = 7 × 7, which means that 7 is to be used as a factor twice? And you agree that 73 = 7 × 7 × 7, which means that 7 is to be used as a factor 3 times? Let’s try writing it out to see if it will help make the whole situation clear:
72  = (7 × 7) 73  = (7 × 7 × 7) (7 × 7) × (7 × 7 × 7)  = (7 × 7 × 7 × 7 × 7)  = 7  used as a factor five times  = 75
We could reach the same answer by adding the exponents in the product, thus:
(72)(73) = 7(2 + 3) = 75
Return to Page 62 and choose the right answer.
 

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Answer to Self-Test Question 6, Lesson 2 :
Yes.

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