Jharkhand Board JAC Class 9 Maths Solutions Chapter 1 संख्या पद्धति Ex 1.6 Textbook Exercise Questions and Answers.
JAC Board Class 9 Maths Solutions Chapter 1 संख्या पद्धति Exercise 1.6
प्रश्न 1.
मान ज्ञात कीजिए :
(i) \(64^{\frac{1}{2}}\)
(ii) \(32^{\frac{1}{5}}\)
(iii) \(125^{\frac{1}{3}}\)
हल:
(i) \(64^{\frac{1}{2}}\) = \((8 \times 8)^{\frac{1}{2}}\)
= \((8)^{2 \times \frac{1}{2}}\) = 8.
(ii) \(32^{\frac{1}{5}}\) = \((2 \times 2 \times 2 \times 2 \times 2)^{\frac{1}{5}}\)
= \(\left(2^5\right)^{\frac{1}{5}}=2^{5 \times \frac{1}{5}}\) = 2.
(iii) \(125^{\frac{1}{3}}\) = \((5 \times 5 \times 5)^{\frac{1}{3}}\)
\(\left(5^3\right)^{\frac{1}{3}}=5^{3 \times \frac{1}{3}}\) = 5.
प्रश्न 2.
मान ज्ञात कीजिए :
(i) \(9^{\frac{3}{2}}\)
(ii) \(32^{\frac{2}{5}}\)
(iii) \(16^{\frac{3}{4}}\)
(iv) \(125^{-\frac{1}{3}}\)
हल:
प्रश्न 3.
सरल कीजिए:
हल:
