Vocab
In an expression of the form xn what does n represent? It indicates the number of times x is used as a factor
Exponent
What is the base of the following expression
52
5
Rewrite and calculate the following expression using the multiplication properties of exponents
43 × 42
45
1024
Rewrite and calculate the following expression using the division properties of exponents
75/72
73
343
Simplify the following expression
(2xy3)2((3x)2)2
324x6y6
In an expression of the form xn what does x represent?
Base
What is the exponent of the following expression
37
7
Rewrite and calculate the following expression using the multiplication properties of exponents
(x5)3
x15
Rewrite and calculate the following expression using the division properties of exponents
46/44
42
16
Simplify the following expression
((xy)4)2(4xy2)2
16x10y12
In an algebraic expression, what are the quantities being multiplied called?
Factors
What is the expanded form of the following expression
43
4×4×4
Rewrite the following expression using the multiplication properties of exponents
(2x5)4
16x20
Rewrite and calculate the following expression using the division properties of exponents
(x/y)4
x4/y4
Simplify the following expression
(4x2y4)(5x3)2
100x8y4
For any nonzero number a, a0= what number.
What is 1?
Solve the following expression
54
625
Rewrite following expression using the multiplication properties of exponents
(9x2y)3
729x6y3
Rewrite and calculate the following expression using the division properties of exponents
(3/8)3
33/83
27/512
Simplify the following expression
(2x)4/(2y)2
4x4/y2
For any real number a ≠ 0 and any integer n,
a-n = 1/an and 1/a-n = an
Negative Exponent
Solve the following expression
85
32768
Rewrite and calculate the following expression using the multiplication properties of exponents
(7x4y2)4
2401x16y8
Rewrite the following expression using the division properties of exponents
(x2/y4)9
x18/y36
Simplify the following expression
(3x2)5/(3y4)3
9x10/y12