Solution of Chapter 12. Exponents and Powers (Maths Important Questions Book)

Chapter Exercises

Important Questions
Very Short Answer (1 Mark)
Short Answer (2 Marks)
Short Answer (3 Marks)
Long Answer (4 Marks)

Important Questions

1 Evaluate: .
2 Evaluate .
3 Evaluate .
4 .
5 Simplify .
6 Solve the following equation & find the value of m in.
7 Solve the following equation & find the value of m in.
8 Solve the following equation & find the value of m in.
9 Find the value of.
10 Find the value of .
11 Find the value of .
12 Evaluate .
13 Evaluate .
14 Show that .
15 Simplify .
16 If .
17 Simplify .
18 Simplify: .
19 Simplify: .
20 Express as a power of 3 in 729 and 343.
21 Simplify .
22 Express the following numbers in usual form.
23 Express the number appearing in the following statements in standard form.
24 Express the following number in standard form.
25 simplify:.
26 Simplify .
27 Simplify.
28 In a library, there are 6 books each of thickness 30mm and 6 paper sheets each of thickness 0.018mm. What is the total thickness?
29 Solve . 

Very Short Answer (1 Mark)

1

The value of is
2

The value of (2-5 ÷ 2-2) is 
3

Evaluate:

4

By what number should 5-1 be multiplied so that the product many be equal to (-7)-1?
5

In a stack there are 5 books each of thickness 20 mm and 5 paper sheets each of thickness 0.016 mm. What is the total thickness of the stack.

Short Answer (2 Marks)

6

Evaluate [(5-1 × 3-1)-1 ÷ 6-1]
7

Evaluate

8

Find the value of x for which
9

The height of Mount Everest is 8848 m. Write it in standard form.
10

Find the value of m for which 5m ÷ 5-3 = 55.

Short Answer (3 Marks)

11

By what number should (-15)-1 be divided so that the quotient may be equal to (-5)-1?
12

If x = , find the value of x-1.
13

By what number should be multiplied so that the product may be?
14

By what number should be divided so that the quotient may be?
15

If , find the value of x.
16

The distance from the earth to the sun is 149600000000 m. Write it in standard form.

Long Answer (4 Marks)

17

Mass of earth is (5.97 x 1024) kg and mass of moon is (7.35 x 1022) kg. What is the total mass of the two?
18

By what number should be multiplied so that the product may be equal to ?
19

If x=, find the value of x-2.
20

Simplify: