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Lesson 2
The Arithmetic of Powers
Multiplication by addition, and division by subtraction
(23)(22) = 32
(bm)(b4) = b(m + 4)(9n)(9m) = 9(n + m)(84)(82) = 88⎫⎬⎭ This set contains a mistake.
You are correct:
(84)(82) = 8(4 + 2) = 86, not 88.
Very well, we have seen that we can find the product resulting from multiplyng two powers of the same base by the formula
(bm)(bn) = b(m + n).
This formula simply says that the exponent of the product will be the sum of the exponents of the two numbers that were multiplied.
Now let’s consider division. In the first place, let’s be sure we are agreed on the names of the parts of a division problem, so that we can discuss a problem without confusion in terminology. Can you identify the parts of the division problem shown below?
3
6)18
Answer :
The number 18 is the divisor, the number 6 is the dividend, and the number 3 is the quotient.
