1. Which expression below is the expanded form of 54?
UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTS Exponents: Expanded Form (Algebra 1.1)
Which expression below is the expanded form of 54?
5  5
4  4  4  4  4
5  5  5  5 52

2. Which expression below is the expanded form of 54?
UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTS Exponents: Expanded Form (Algebra 1.1)
Which expression below is the expanded form of 54?
5  5
4  4  4  4  4
5  5  5  5 52
In order to find the expanded form of the exponential expression 54, look at the exponent. The exponent indicates the number of times the base appears in the expanded form.

3. Which expression below is the expanded form of 54?
UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTS Exponents: Expanded Form (Algebra 1.1)
Which expression below is the expanded form of 54?
5  5
4  4  4  4  4
5  5  5  5 52
The exponent in the expression 54 is 4. So the expanded form of the exponential expression will be a multiplication of 4 fives.
5  5  5  5
The correct answer is (C).

4. Which one of the following statements is true?
UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTS Exponents: Expanded Form (Algebra 1.1)
Which one of the following statements is true?
32  63 = 3  3  6  6
x3  y2 = x  x  x  y  y
24 = 32
b5 = 5  b

5. Which one of the following statements is true?
UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTS Exponents: Expanded Form (Algebra 1.1)
Which one of the following statements is true?
32  63 = 3  3  6  6
x3  y2 = x  x  x  y  y
24 = 32
b5 = 5  b
The exponent indicates the number of times that the base appears in the expanded form of the expression.

6. Which one of the following statements is true?
UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTS Exponents: Expanded Form (Algebra 1.1)
Which one of the following statements is true?
32  63 = 3  3  6  6
x3  y2 = x  x  x  y  y
24 = 32
b5 = 5  b
The only answer in which the exponents match the number of times the bases appear in the expanded form is
x3  y2 = x  x  x  y  y
There are three x’s and two y’s in the expanded form of the expression x3  y2.
The correct answer is (B).