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Ncert Solutions for Exponents Class 8 CBSE Part 1


In this page we have NCERT book Solutions for Class 8th Maths:Exponents for EXERCISE 1 . Hope you like them and do not forget to like , social share and comment at the end of the page.

Question 1  

Evaluate

i) 3 -2

ii) (- 4) - 2

iii) (1/2)-5   


Answer

As we know that

b-n= 1/bn

(i)  3-2  =  1/ 32  =1/9

(ii) (-4)-2   =1/(-4)2= 1/6

(iii) (1/2)-5   =1/ 2-5 

=25= 32

 

Question 2

 Simplify and express the result in power notation with positive exponent.


Answer

(i)  

= (-4)5 / (-4)8

= (-4)5-8

=1/ (-4)3 

(ii)

=   1/23x2

=1/26

iv )

=   (3-7/ 3-10) × 3-5

=3-7+10 × 3-5

=33 × 3-5

=3-2

=1/32

v) 2 - 3 × ( - 7) - 3

=   (2× -7)-3

= (-14)-3

=1/ (-14)3

 

Question 3

Find the value of

  1. (30 + 4 - 1) × 22
  2. (2 - 1 × 4 - 1)  ÷ 2 - 2
  3. (3 - 1 + 4 - 1 + 5 - 1)0
  4. Answer

  1. (30 + 4 - 1) × 22

    = (1+1/4) × 4

    = 4+1=5

     

     2. (2 - 1 × 4 - 1)  ÷ 2 - 2

= [(1/2) × (1/4)] ÷ (1/4)

= (1/8)  ×  (4)  =1/2

 

  3.

= 22 + 32  + 42

=4+9+16=29

 

4. (3 - 1 + 4 - 1 + 5 - 1)0

=1   as  a0=1

 

 

 

Question 4

Evaluate

Answer

Question 5

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


Answer

5m   ÷   5-3 = 55

5m × (1/5-3)  = 55

5m+3 =55

So  m+3=5

m=2

 

Question 6

Evaluate

Answer

Question 7

Simplify.


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