Arithmetic of Computers

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Lesson 2

The Arithmetic of Powers

Multiplication by addition, and division by subtraction

Page 88

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Your answer :

((8²)(8⁴))/(8³) = (8⁶)/(8³) = 8³ (b¹⁰)/(b⁷) = b³ (3³)/(3¹) = 9 (6³)/(6) = 36 ⎫⎬⎭ This group contains a mistake.

Well, let’s see:

((8²)(8⁴))/(8³) = (8^(2 + 4))/(8³) = (8⁶)/(8³) = 8^{(6 − 3)} = 8³; (3³)/(3¹) = 3^{(3 − 1)} = 3² = 9; (b¹⁰)/(b⁷) = b^{(10 − 7)} = b^3; (6³)/(6) = (6³)/(6¹) = 6^{(3 − 1)} = 6² = 6 × 6 = 36.

Nothing wrong here. Return to Page 60 and choose another answer.