Class 9th Maths – RD Sharma Chapter 2 : Exponents of Real Numbers Exercise 2.1 Solutions (Step-by-Step Guide)

RD Sharma Chapter 2 : Exponents of Real Numbers Exercise 2.1 Solutions

1. Simplify : 3(a^4b^3)^10 ×5(a^2b^2)^3 Watch Solution
2. Simplify : (2x^-2y^3)^3 Watch Solution
3. Simplify: ((4×10^7) (6×10^-5))/{8×10^4} Watch Solution
4. Simplify : (4ab^2(-5ab^3))/10a^2b^2 Watch Solution
5. Simplify : ((x^2y^2)/a^2b^3)^n Watch Solution
6. Simplify : (a^3n-9)^6/a^(2n-4) Watch Solution
7. If a = 3 and b = -2, find the values of : a^a + b^b Watch Solution
8. If a = 3 and b = -2, find the values of : a^b + b^a Watch Solution
9. If a = 3 and b = – 2, find the values of : (a + b)^ab Watch Solution
10. If x, y, a, b are positive real numbers, prove that : (x^a/x^b)^c × (x^b/x^c)^a × (x^c/x^a)^b = 1 Watch Solution
11. If x, y, a, b are positive real numbers, prove that : 1/(1+x^a-b) + 1/(1+x^b-a) = 1 Watch Solution
12. Solve the following equations for x : 7^(2x+3) = 1 Watch Solution
13. Solve the following equations for x : 2^(x+1) = 4^(x-3) Watch Solution
14. Solve the following equations for x : 2^(5x+3) = 8^(x+3) Watch Solution
15. Solve the equation for x : 4^2x = 1/32 Watch Solution
16. Solve the equation for x : 2^3x-7 = 256 Watch Solution
17. Prove that : (a+b+c)/(a^-1b^-1c^-1a^-1) = abc Watch Solution
18. Prove that : (a^-1 + b^-1)^-1 = ab/(a + b) Watch Solution
19. Prove that: (x^a/x^b)^(a^2+ab+b^2) × (x^b/x^c)^(b^2+bc+c^2) × (x^c/x^a)^(c^2+ca+c^2) = 1 Watch Solution
20. Simplify : {3^n × 9^n+1}/{3^n-1 × 9^n-1} Watch Solution
21. Simplify : {5×25^n+1-25×5^2n}/{5×5^2n+3-(25)^n+1} Watch Solution
22. Simplify : {6(8)^n+1 + 16(2)^3n-2}/{10(2)^3n-1 – 7(8)^n} Watch Solution
23. Solve the following equations for x: 2^2x – 2^x+3 + 2^4 = 0 Watch Solution
24. Solve the equation for x : 3^2x+4 + 1 = 2.3^x+2 Watch Solution
25. Solve the equation for x: 4^x-1 × (0.5)^3-2x = (1/8)^x Watch Solution
26. If 49392 = a^4b^2c^3, find the value of a, b and c, where a, b and c are different positive primes. Watch Solution
27. If 1176 = 2^a × 3^b × 7^c, find a, b and c. Watch Solution
28. Given 4725 = 3^a 5^b 7^c, find (i) the integral values of a, b and c (ii) the value of 2^-a 3^b 7^c Watch Solution
29. If a = xy^p-1, b = xy^q-1 and c = xy^r-1, prove that a^q-r b^r-p c^p-q = 1 Watch Solution

 

2. Exponents of Real Numbers – R.D. Sharma Class 9th Maths

1. Exponents of a Real Numbers Exercise 2.1 Video Solutions
2. Exponents of a Real Numbers Exercise 2.2 Video Solutions
3. Exponents of a Real Numbers Very Short Answer Questions (VSAQs) Video Solutions
4. Exponents of a Real Numbers Fill in the Blanks (FBQs) Video Solutions
5. Exponents of a Real Numbers Multiple Choice Questions (MCQs) Video Solutions