Test Details

Exponents and Powers

Solve the all questions and prepare for the annual Examination

Feb 22, 4:00 PM

100 minutes

Feb 22, 5:40 PM

100.0 marks

MCQ

50 questions

KAMAL CHANDRA KAUSHAL

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Class Details

Maths

Computer

Class 8th

Maths

Computer

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Question Text

Question 5 :
The distance between earth and sun is 150 million kilometres which can be written in exponential form as _______.

Question 6 :
Express the result in power notation with positive exponent.$(-4)^5 ÷ (-4)^8$

Question 8 :
If a = – 1, b = 2, then find the value of $a^b-b^{a}$

Question 10 :
State true or false: For any non-zero integer a, $a^{(-m)} = 1/a^m$

Question 11 :
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 12 :
Express in standard form: Charge of an electron is 0.000,000,000,000,000,000,16 coulomb.

Question 13 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cccdf59b460d7261edec.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 14 :
Express in standard form: 1 micron is equal to $\frac{1}{1000000} m$

Question 16 :
Find a repeater machine that will do the same work as a $(× \frac{1}{8})$ machine.

Question 17 :
<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 19 :
<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 21 :
Find the value of m for which, $5^m÷ 5^{– 3} = 5^5$

Question 27 :
Express the result in power notation with positive exponent. $(3^{– 7}÷3^{– 10}) × 3^{– 5}$

Question 28 :
By what number should $(–15)^{–1}$ be divided so that the quotient may be equal to $(–5)^{–1}$?

Question 31 :
By what number should $(–8)^{–3}$ be multiplied so that that the product may be equal to $(–6)^{–3}$?

Question 33 :
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 37 :
State true or false: Very large and very small numbers can be expressed in standard form.

Question 40 :
Simplify and write the answer in the exponential form. $\frac{1}{8} \times 3^{−3}$

Question 45 :
State true or false: Very small numbers can be expressed in standard form using positive exponents.

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