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 b 5 by b 2 , what is the product?
8.
What is the product of b m times b n ?
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 ( b m )/( b n ) ?
13.
What is the quotient of b 5 is divided by b 2 ?
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.
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.
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