# ### Arithmetic of Computers

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### Self-Test Questions : Lesson 2

#### The Arithmetic of Powers

##### Multiplication by addition, and division by subtraction

1.
If we multiplied 42 by 41, of what number would the product be a power?

2.
What is the exponent of the product when two numbers which are powers of the same base are multiplied?

3.
What power of 3 is (32)(33)?

4.
The sum of the exponents is the total number of times the base is used as a .....?..... in the product?

5.
Is it true that (34)(32) = 38?

6.
Is it true that (65)(64) = 69?

7.
If you multiply b5 by b2, what is the product?

8.
What is the product of bm times bn?

9.
In
6 5)30,
which is the divisor, the quotient, the dividend?

10.
In the expression (45)/(9) = 5, which is the divisor? The dividend? The quotient?

11.
What is the exponent of the quotient when one power of a base is divided by another power of the same base?

12.
What is another way of saying (bm)/(bn)?

13.
What is the quotient of b5 is divided by b2?

14.
What is b × b × b × b divided by b × b?

15.
Using exponents, divide 32 by 8.

16.
Write (36)/(33) first as a power of 3; then as a regular number.

17.
If 84 is divided by 84, what power of 8 results?

18.
Show how 33 is divided by 33 in two ways.

19.
What is the value of b0?

20.
What is (43)(40)?

21.
Is this statement true of false? 60 = 40 = 80 = 1

22.
What is the result when you divide 53 by 50?

Go now to Lesson 3 on Page 92.