powers & exponents practice level...
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© 2015 Actis Standard, LLC
Name: ____________________________________ Date: _____________ Hr: ______
Powers & Exponents Practice Level 3
1. Write the following in exponential form.
Four to the fifth power
Exponential form: ___________
2. Select the choice that shows the sentence in exponential form.
Two to the third power
(A) 32
(B) 23
(C) 2 • 2 • 2
(D) 8
3. Write the power in word form:
€
53 = _______________________ ____________________________ ____________________________
4. Write the product as a power.
3 • 3 • 3 • 3 = _______
5. Write the power in standard form.
€
53 = _____________
6. Evaluate the power.
€
62 = _____________
7. Write the power in expanded form.
€
37 = _______________________
8. Evaluate the expression for the given value of the variable.
?2 when ? = 5
9. Evaluate the expression for the given value of the variable.
€
b4 when b =2
10. Write the number below as a power with a base of 3 and a base of 9.
81
Power with a base of 3: _______ Power with a base of 9: _______
11. How many different ways can you write the number 8 as a power? Show your work by writing all of the different ways. (A) 1 way (B) 2 different ways (C) 3 different ways (D) 4 different ways
12. Computers store information in units called bits and bytes. There are 8 bits in one byte of data. Select the number of bits in one byte as a power with a base of 2. (A) 23
(B) 24 (C) 28
(D) None of the above
© 2015 Actis Standard, LLC
Name: ____________________________________ Date: _____________ Hr: ______
Powers & Exponents Practice Level 4
1. Write the power in word form.
€
43 = _______________________
____________________________
2. Write the product as a power. 4 • 4 • 4 • 4 • 4 = ________
3. Which of the choices below shows this in exponential form.
Three to the second power
(A) 32 (C) 3 • 3
(B) 23 (D) 9
4. Write the product as a power. x • x • x • x • x = _______
5. Write the power in expanded form.
€
23 = ________________
6. Evaluate the power.
€
113 = ______________
7. Write the power in standard form. Show work.
€
63 = __________________
8. Write the number below as a power with a base of 3 and a base of 9.
81 Power with a base of 3: _______ Power with a base of 9: _______
9. How many different ways can you write the number 16 as a power? Show your work by writing all of the different ways. (A) 1 way (B) 2 different ways (C) 3 different ways (D) 4 different ways
10. Evaluate the expression for the given value of the variable.
€
12n when n = 0
11. Tell whether the statement below is always true, sometimes true, or never true when ? is any whole number. Prove your answer using at least three examples.
€
2? < 3?
(Circle one below)
Always Sometimes Never
Name: ____________________________________ Date: _____________ Hr: ______
Powers & Exponents Practice Level 3
1. Write the following in exponential form.
Four to the fifth power
Exponential form: ___________
2. Select the choice that shows the sentence in exponential form.
Two to the third power
(A) 32
(B) 23
(C) 2 • 2 • 2
(D) 8
3. Write the power in word form:
53 = _______________________ ____________________________ ____________________________
4. Write the product as a power.
3 • 3 • 3 • 3 = _______
5. Write the power in standard form.
53 = _____________
6. Evaluate the power.
62 = _____________
7. Write the power in expanded form.
€
37 = _______________________
8. Evaluate the expression for the given value of the variable.
?2 when ? = 5
9. Evaluate the expression for the given value of the variable.
b4 when b =2
10. Write the number below as a power with a base of 3 and a base of 9.
81
Power with a base of 3: _______ Power with a base of 9: _______
11. How many different ways can you write the number 8 as a power? Show your work by writing all of the different ways. (A) 1 way (B) 2 different ways (C) 3 different ways (D) 4 different ways
12. Computers store information in units called bits and bytes. There are 8 bits in one byte of data. Select the number of bits in one byte as a power with a base of 2. (A) 23
(B) 24 (C) 28
(D) None of the above
© 2015 Actis Standard, LLC
Name: ____________________________________ Date: _____________ Hr: ______
Powers & Exponents Practice Level 4
1. Write the power in word form.
€
43 = _______________________
____________________________
2. Write the product as a power. 4 • 4 • 4 • 4 • 4 = ________
3. Which of the choices below shows this in exponential form.
Three to the second power
(A) 32 (C) 3 • 3
(B) 23 (D) 9
4. Write the product as a power. x • x • x • x • x = _______
5. Write the power in expanded form.
23 = ________________
6. Evaluate the power.
113 = ______________
7. Write the power in standard form. Show work.
€
63 = __________________
8. Write the number below as a power with a base of 3 and a base of 9.
81 Power with a base of 3: _______ Power with a base of 9: _______
9. How many different ways can you write the number 16 as a power? Show your work by writing all of the different ways. (A) 1 way (B) 2 different ways (C) 3 different ways (D) 4 different ways
10. Evaluate the expression for the given value of the variable.
€
12n when n = 0
11. Tell whether the statement below is always true, sometimes true, or never true when ? is any whole number. Prove your answer using at least three examples.
2? < 3?
(Circle one below)
Always Sometimes Never
© 2015 Actis Standard, LLC