Exponents and Powers Worksheet 1 with Answers
1.
State true or false for each of the following:
a.
132 – 122 = 52
b.
Cube root of 59/312 is 53/36.
c. The least number by which 5400 must
be multiplied so as to make it a perfect cube is 5.
d. Cube of 0.6 is
0.0216.
2.
Evaluate: (–5)6 × (–5)2
× (–5)1 × (–5)0
3.
Fill in the blanks.
a.
The result of 103 + 93 and 123 + 13
are __________.
b.
The cube root of 3375 is _________.
c.
32 × 42 is greater than 23 × 24 by
_________.
4.
Find the sum of squares of first five odd
numbers.
5. Find the cube root of
a. 212/36
b. 30/59
6. Find the value of 3 × (–2)2.
7.
Choose the correct answer for each of the
following.
a.
22 × 23 × 25 written in exponential form is
i. 210
ii. 28
iii. 230
iv. 215
b.
4 × 16 × 32 written in exponential form is
i. 45
ii. 27
iii. 211
iv. 84
c.
20 × (2)3 × 33 is equal to
i. –216
ii. –72
iii. 216
iv. –432
d.
Square root of 225/784 is
i. 25/28
ii. 15/24
iii. 25/24
iv. 15/28
Exponents and Powers Worksheet 2 with Answers
1. Fill in the blanks:
a.
311 × 3–8 = ___________
b.
The cube of –2 is ___________.
c.
The square root of 64 is ___________.
d.
23 + 3 =___________
e.
The square of 8 is equal the cube of ___________.
2.
Express the following in exponential form:
a. 25600
b. 23716
3.
Simplify:
a.
(35 × 24) ÷ (22 × 32)
b.
(29 × 211) ÷ 27
4.
Evaluate: 53 + 25 – 34
5.
Find the number whose square is equal to the
sum of the squares of 3 and 4.
6.
Find the sum of squares of first four odd
prime numbers.
7. Find the number whose cube is 1 less than the sum of the cubes of
9 and 10.
Exponents and Powers Worksheet 3 with Answers
1.
Find the product of (–3)3 × 24
× (7)0 × 52.
2.
Find the least number that must be added to
222 for it to be a perfect square.
3.
Fill in the blanks of each of the following:
a.
23 × 32 × 50 is equal to __________.
b.
(+4)3 is __________ (+2)5
c. (−2) × (−2) × (−2) × (−4) × (−4) ×
(−8) × (−8) expressed in exponential form is equal to ____________.
d.
972 expressed in exponential form is equal to __________.
4.
Find the square root of:
i. 18225
ii. 441
5.
State whether the following statements are
true or false.
a.
(+15)0 is greater than (–8)0.
b.
512 expressed in powers of 2 is equal to 29.
c.
(243)5 has 243 as base and 5 as its exponent.
d.
3969 expressed as product of the powers of their prime factors is 72
× 33.
6.
Choose the correct answer for each of the
following:
a.
Cube root of 9261 is
i. 21
ii. 441
iii. 63
iv. 147
b.
Cube of −4/7 is
i. 64/49
ii. 64/343
iii. −64/343
iv. 16/49
c.
22 + 23 + 24 is equal to
i. 29
ii. 28
iii. 21
iv. 256
d.
The least number that must be multiplied by 1323 to make it a perfect square is
i. 3
ii. 9
iii. 7
iv. 21
7.
Find the cube of 3/5.
8.
Find the square root of 81/625.
9.
Write the prime factorization of each of the
following numbers in exponential form:
i. 5004
ii. 42336
10. Find the sum of squares of first five whole
numbers.
ANSWERS
Worksheet 1
1. a. True b. False
c. True
d. False
2. –1953125
3. a. 1729 b. 15
c. 16
4. 165
5. a. 16/9 b. 1/125
6. 12
7. a. i b. iii
c. iii
d. iv
Worksheet 2
1. a. 33 b. –8
c. 8
d. 11
e. 4
2. a. 210 × 52
b. 22 × 72 × 112
3. a. 108 b. 8192
4. 76
5. 5
6. 204
7. 12
Worksheet 3
1. –10800
2. 3
3. a. 72
b. greater than
c. (–2)13
d. 22 × 35
4. i. 135 ii. 21
5. a. False b.
True
c. True d. False
6. a. i b. iii
c. ii d. i
7. 27/125
8. 9/25
9. i. 22 × 32 ×
139
ii. 25 × 33 × 72
10. 30
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