Exponents and Powers Extra Questions

# Exponents and Powers Extra Questions

## Exponents and Powers Extra Questions with Answers

Exponents and powers extra questions play a vital role in strengthening the maths concepts. After studying the concepts of mathematics, revision of questions related to Exponents and powers is very important for the students. This assesses the preparation of the students. Students can assess themselves by its own by solving the Exponents and powers extra questions. Parents and teachers can also assess the students by giving them these Exponents and powers extra questions to the students to solve.

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## 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.

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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