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R D Sharma Number System Gseb Class 9 Maths Problems and Solutions

Many students find Number System for Gseb Class 9 particularly challenging. Strengthen your concepts and gain confidence for your exams by solving free questions for Number System from R D Sharma for Gseb Class 9 preparation.

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Question
Level
Action
Simplify : $$3(a^{4} b^{3})^{10} \times 5(a^{2} b^{2})^{3}$$......
Level 1
Simplify: $$(\frac{x^{2} y^{2}}{a^{2} b^{3}})^{n}$$......
Level 1
Simplify : $$\frac{4 a b^{2}(-5 a b^{3})}{10 a^{2} b^{2}}$$......
Level 2
Simplify : $$\frac{(4 \times 10^{7})(6 \times 10^{-5})}{8 \times 10^{4}}$$......
Level 2
Simplify: $$\frac{(a^{3 n-9})^{6}}{a^{2n-4}}$$......
Level 2
If $$a=3$$ and $$b=-2,$$ find the values of: $$a^{a}+b^{b}$$......
Level 2
Solve the equations for $$x$$ : $$7^{2 x+3}=1$$......
Level 2
Solve the equations for $$x$$ : $$2^{x+1}=4^{x-3}$$......
Level 2
Solve the equations for $$x$$ : $$2^{5 x+3}=8^{x+3}$$......
Level 2
Solve the equations for $$x$$ : $$4^{2 x}=\frac{1}{32}$$......
Level 2
Solve the equations for $$x$$ : $$2^{3 x-7}=256$$......
Level 2
If $$49392=a^{4} b^{2} c^{3},$$ find the values of $$a, b$$ and $$c$$ where $$a, b$$ and $$c$$ are d......
Level 2
If $$1176=2^{a} \times 3^{b} \times 7^{c},$$ Find $$a, b,c$$......
Level 2
Given $$4725=3^{a} \times 5^{b} \times 7^{c},$$ Find the integral values of $$a, b, c$$......
Level 2
If $$a=3$$ and $$b=-2,$$ find the values of $$a^{b}+b^{a}$$......
Level 2
Simplify : $$(2 x^{-2} y^{3})^{3}$$......
Level 3
Simplify: $$\frac{3^{n} \times 9^{n+1}}{3^{n-1} \times 9^{n-1}}$$......
Level 3
Simplify: $$\frac{(5 \times 25^{{n}+1})(25 \times 5^{2 {n}})}{(5 \times 5^{2 {n}+3})-(25)^{{n}+1}}$......
Level 3
If $$a=3$$ and $$b=-2,$$ find the values of: $$a^{b}+b^{a}$$......
Level 3
Solve the equations for $$x$$ : $$4^{x-1} \times(0.5)^{3-2 x}=(\frac{1}{8})^{x}$$......
Level 3