CTET 2 Math and Science Jan 2016 Paper(HM)

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Question : 52 of 150

Marks: +1, -0

m

का वह मान, जबकि

(\;{2}/{9})^{3} ×(\;{4}/{81})^{-6}=(\;{2}/{9})^{2 m-1}

है, है

-6
0
-4
3

Solution:

(\;{2}/{9})^{3} ×(\;{4}/{81})^{-6} \;\; =(\;{2}/{9})^{2 m-1}

⇒ \;\; (\;{2}/{9})^{3} ×[(\;{2}/{9})^{2}]^{-6} \;\; =(\;{2}/{9})^{2 m-1}

⇒ \;\; (\;{2}/{9})^{3-12} \;\; =(\;{2}/{9})^{2 m-1}

⇒ 2 m-1=-9

⇒ \;\; m \;\; =-4

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