# NCERT Exemplar Solutions Class 6 Mathematics Solutions for Exercise in Chapter 8 - Ratio and Proportion

Question 22 Exercise

5kg : 7.5kg = Rs 7.50 : Rs 5

False.

Consider the two ratios 5kg: 7.5kg = Rs 7.50: Rs 5

5/7.5 = 7.50/5

50/75 = 75/50

50/75 is further simplified by dividing both numerator and denominator by 25 we get,

= 2/3

75/50 is further simplified by dividing both numerator and denominator by 2 we get,

= 3/2

Hence, 2/3 ≠ 3/2

Therefore, 5kg: 7.5kg ≠ Rs 7.50: Rs 5

Video transcript
"hello students welcome to lead of q a video session i am seth your math tutor and question for today is first find 64 raised to one half second 32 raised to one upon five third 125 raised to 1 upon 3 let us take the first one 64 raised to one half 8 into 8 is 64 and it is raised to one half and eight square raised to one half and in the next step it becomes eight raised to one because a raised to one raised to 1 by 2 will be equal to a raised to 1 into 1 upon 2 and that will be a raised to 1 so that is why 8 raised to 1 and hence it is 8 so first one's answer is 8 let us proceed with the second one 32 raised to 1 upon 5 now when you here know that 2 raised to 5 is equal to 32 so 2 raised to 5 is to 1 upon 5 again over here 2 raised to 1 because 2 raised to 5 into 1 upon 5 is equal to 2 raised to 1 so your answer is 2 third one 125 raised to 1 upon 3 so 125 is 5 into 5 into 5. and it is raised with 1 upon 3 as a power so 5 raised to 3 will be equal to 5 raised to 3 raised to 1 upon 3 and this will be equal to 5 raised to 1 because 5 into 5 raised to 3 into 1 upon 3 will be equal to 5 raised to 1 and hence it is 5 raised to 1 so your answer comes out to be 5 finally so these were the solutions if you have any queries regarding any of the solution you can post it in your comment section and subscribe to video for more such interesting q a thank you for watching"
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