R.D. Sharma Solutions Class 9th: Ch 2 Exponents of Real Numbers Exercise 2.1

Chapter 2 Exponents of Real Numbers R.D. Sharma Solutions for Class 9th Math Exercise 2.1

Exercise 2.1

1. Simplify the following:

Solution

2. If a = 3 and b = -2 , find the values of :

 Solution 

3. Prove that 

Solution 

4. Prove that

Solution

 

(ii) 

5. Prove that

Solution

(ii)

6.

Solution

7.  Simplify the following

Solution

(i)

(ii)

(iii)

(iv) 

Level - 2 

8. Solve the following equation for x :

Solution 

(i)

(ii)

(iii) 

(iv)

(v)

(vi)

9. Solve the following equations for x :

Solution

(i)

(ii)

10. If 49392 = a⁴b²c³, find the values of a,b and c, where a,b and c are different positive primes.

Solution

First find out the prime factorisation of 49392.

11. If 1176 = 2a³b⁷c, find a,b and c.

Solution

First find out the prime factorisation of 1176.

12. Given 4725 = 3^a5^b7^c, find

(i) The integral values of a,b and c

(ii) The values of 2^-a3^b7^c

Solution

13. If a = xy^p-1, b = xy^q-1 and c = xy^r-1 prove that a^q-rb^r-pc^p-q = 1

Solution