Question 1 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ccd2f59b460d7261edf3.PNG' /> From the above figure, supply the missing information for diagram.

Question 2 :
Simplify and write the answer in the exponential form.$(– 4)^{– 3} × (5)^{– 3} × (–5)^{– 3}$

Question 6 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cccef59b460d7261eded.PNG' /> Refer to the above image. Determine whether there is a single repeater machine that will do the same work. If so, describe it.

Question 7 :
Simplify and write the answer in the exponential form. $\frac{1}{8} \times 3^{−3}$

Question 9 :
If a = – 1, b = 2, then find the value of $a^b\div b^{a}$

Question 13 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ccd3f59b460d7261edf5.PNG' /> From the above figure, supply the missing information for diagram.

Question 16 :
Express in standard form: Size of a bacteria is 0.0000005 m

Question 21 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ccd1f59b460d7261edf2.PNG' /> Refer to the above image. Neha needs to stretch some sticks to $25^2$ times their original lengths, but her (×25) machine is broken. Find a hook-up of two repeater machines that will do the same work as a $(×25^2)$ machine. To get started, think about the hookup you could use to replace the (×25) machine.

Question 22 :
Express in standard form: 1 micron is equal to $\frac{1}{1000000} m$

Question 24 :
Find two repeater machines that will do the same work as a (× 81) machine.

Question 25 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ccd7f59b460d7261edfa.PNG' /> The above table may help. Long back in ancient times, a farmer saved the life of a king’s daughter. The king decided to reward the farmer with whatever he wished. The farmer, who was a chess champion, made an unusal request: “I would like you to place 1 rupee on the first square of my chessboard, 2 rupees on the second square, 4 on the third square, 8 on the fourth square, and so on, until you have covered all 64 squares. Each square should have twice as many rupees as the previous square.” The king thought this to be too less and asked the farmer to think of some better reward, but the farmer didn’t agree. How much money has the farmer earned?