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 

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4. Prove that

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(ii) 


5. Prove that

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(ii)

6.

Solution


7.  Simplify the following

Solution

(i)
(ii)


(iii)


(iv) 


Level - 2 

8. Solve the following equation for x :

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(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 = 3a5b7c, find
(i) The integral values of a,b and c
(ii) The values of 2-a3b7c

Solution


13. If a = xyp-1, b = xyq-1 and c = xyr-1 prove that aq-rbr-pcp-q = 1

Solution


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