Lesson 2
The Arithmetic of Powers
Multiplication by addition, and division by subtraction
Page 46
Your answer :
(b16)/(bn) = b(16 − n)
(53)/(51) = 25
(104)/(102) = 100
(b2)/(b) = b1
⎫⎬⎭ This group contains a mistake.
Well, let’s see:
(b16)/(bn)
=
b(exponent of dividend, 16, minus exponent of divisor, n) = b(16 − n);
(104)/(102)
=
10(4 − 2) = 10 × 10 = 100;
(53)/(51)
=
5(3 − 1) = 52 = 5 × 5 = 25;
(b2)/(b)
=
(b2)/(b1) = b(2 − 1) = b1 = b.
They’re all correct.
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