Worksheet on Exponents and Powers for Class 8

Solved Questions on Exponents and Powers

1. What is the multiplicative inverse of the following expression?

cmo-exponents-c8-q1

a) 64729
b) 128729
c) 72964
d) 729128

Answer: a) 64729

Explanation: cmo-exponents-c8-q1exp

Thus, the multiplicative inverse of 729/64 is 64/729.

2. Which of the following exponents in expanded form represents the number 5629.354?

a) 5 × 104 + 6 × 103 + 2 × 102 + 9 × 101 + 3 × 10−1 + 5 × 10−2 + 4 × 103
b) 5 × 104 + 6 × 103 + 2 × 102 + 9 × 10−1 + 3 × 10−2 + 5 × 10−3 + 4 × 104
c) 5 × 103 + 6 × 102 + 2 × 101 + 9 × 100 + 3 × 10−1 + 5 × 10−2 + 4 × 103
d) 5 × 103 + 6 × 102 + 2 × 101 + 9 × 10−1 + 3 × 10−2 + 5 × 10−3 + 4 × 10−4

Answer: c) 5 × 103 + 6 × 102 + 2 × 101 + 9 × 100 + 3 × 10−1 + 5 × 10−2 + 4 × 103  

Explanation: The expanded form of 5629.354

= 5 × 103 + 6 × 102 + 2 × 101 + 9 × 100 + 3 × 10−1 + 5 × 10−2 + 4 × 103

3. Simplify the following expression: (− 7/3)−2 × (7/9)2 ÷ (2/7)−2 × 42

a) 421
b) 214
c) 821
d) 218

Answer: c) 821

Explanation:

cmo-exponents-c8-5

4. What is the value of ‘p’ if 112p + 11 = 1/1331?

a) 7
b) −7
c) 11
d) −11

Answer: b)  −7

Explanation:

cmo-exponents-c8-6

5. What is the area of a rectangle in standard form whose length is 17 × 105 m and breadth is  1.7 × 104 m?

a) 2.89 × 10−9 m2
b) 2.89 × 109 m2
c) 2.89 × 10−10 m2
d) 2.89 × 1010 m2

Answer: d) 2.89 × 1010 m2

Explanation:

cmo-exponents-c8-q5exp

>> Join CREST Olympiads WhatsApp Channel for latest updates.

Downloadable Worksheet

If your web browser doesn't have a PDF Plugin. Instead you can Click here to download the PDF

>> Join CREST Olympiads WhatsApp Channel for latest updates.

Maths Related Topics for Class 8

Quick Video Recap

In this section, you will find interesting and well-explained topic-wise video summary of the topic, perfect for quick revision before your Olympiad exams.

***COMING SOON***

×

>> Join CREST Olympiads WhatsApp Channel for latest updates.

Other Subjects for Class 8

70%