## MP Board Class 9th Maths Solutions Chapter 1 संख्या पद्धति Ex 1.6

प्रश्न 1.

ज्ञात कीजिए :

(i) (64)^{1/2} (2019)

(ii) (32)^{1/5}

(iii) (125)^{1/3} (2018).

हल:

(i) (64)^{1/2} = (8^{2})^{1/2} = 8^{1/2×2} = 8.

(ii) (32)^{1/5} = (2^{5})^{1/5} = 2^{5×1/5} = 2.

(ii) (125)^{1/3} = (5^{3})^{1/3} = 5^{3×1/3} = 5.

प्रश्न 2.

ज्ञात कीजिए:

(i) 9^{3/2}

(ii) 32^{2/5}

(iii) 16^{3/4}

(iv) 125^{-1/3}.

हल:

(i) 9^{3/2} = (3^{2} )^{3/2} = 3^{2×3/2} = 3^{3} = 27.

(ii) 32^{2/5} = (2^{5})^{2/5} = 2^{5×2/5}= 2^{2} = 4.

(iii) 16^{3/4} = (2^{4})^{3/4} = 2^{4×3/4} = 2^{3} = 8.

(iv) 125^{-1/3} = (5^{3})^{-1/3} = 5^{3}(^{-1/3}) = 5^{-1} = \(\frac { 1 }{ 5 }\)

प्रश्न 3.

सरल कीजिए:

हल: