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

Question 4 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cccef59b460d7261edee.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 10 :
State true or false: Standard form is also called scientific notation form.

Question 12 :
Express in standard form: Charge of an electron is 0.000,000,000,000,000,000,16 coulomb.

Question 13 :
State true or false: For any non-zero integer a, $a^{(-m)} = 1/a^m$

Question 14 :
In a stack there are 5 books each of thickness 20 mm and 5 paper sheets each of thickness 0.016 mm. What is the total thickness of the stack.

Question 17 :
The diameter of the Sun is $1.4 × 10^9$ m and the diameter of the Earth is $1.2756 × 10^7$ m. What is the comparison between their diameters by division?

Question 18 :
<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 20 :
Find three machines that can be replaced with hook-ups of (× 5) machines.

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 29 :
Express the result in power notation with positive exponent.$(-3)^4 \times (\frac{5}{3})^4$

Question 34 :
If a = – 1, b = 2, then find the value of $a^b\div b^{a}$

Question 38 :
By what number should $(–8)^{–3}$ be multiplied so that that the product may be equal to $(–6)^{–3}$?

Question 40 :
<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 50 :
Find a repeater machine that will do the same work as a $(× \frac{1}{8})$ machine.