Exponents and Powers Extra Questions

# Exponents and Powers Extra Questions

Let us solve these Exponents and powers extra questions.

## 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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