Test Details

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Exponents and Powers

Math

Jan 17, 10:00 AM

1000 minutes

Jan 18, 2:40 AM

100.0 marks

MCQ

50 questions

Sunil Kumar

Class Details

Maths

English

Science

social

Hindi

Class 7th

Maths

English

Science

social

Hindi

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Question Text

Question 1 :
Using laws of exponents, simplify and write the answer in exponential form: $8^t\times8^2$

Question 3 :
Find the number from expanded form: 3 × $10^4$ + 7× $10^2$ + 5× $10^0$

Question 4 :
State true or false - in the expanded form, 3006194 = 3 × $10^6$ + 0 × $10^5$ + 6 × $10^3$ + 1 × $10^2$ + 9 × $10^1$ + 4 × 100

Question 5 :
Express the number appearing in the statement in standard form: In a galaxy there are on an average 100,000,000,000 stars.

Question 6 :
State true or false - in the expanded form, 2806196 = 2 × $10^6$ + 8 × $10^5$+ 0 × $10^4$ + 6 × $10^3$ + 1 × $10^2$ + 9 × $10^1$+ 6 × $10^0$

Question 8 :
Express the following numbers as a product of powers of prime factors: 16000

Question 9 :
Express each of the following as product of powers of their prime factors: 3600

Question 10 :
Express the following numbers as a product of powers of prime factors: 432

Question 12 :
Put into another form using $a^m$ × $b^m$ = $(ab)^m$ : $4^3\times2^3$

Question 13 :
Expand by expressing powers of 10 in the exponential form: 5643

Question 14 :
Put into another form using $a^m$ × $b^m$ = $(ab)^m$ : $5^6\times(-2)^6$

Question 15 :
Write exponential form for 8 × 8 × 8 × 8 taking base as 2.

Question 19 :
Express the number appearing in the statement in standard form: The distance of the Sun from the centre of the Milky Way Galaxy is estimated to be 300,000,000,000,000,000,000 m.

Question 21 :
Put into another form using $a^m$ × $b^m$ = $(ab)^m$ : $2^5\times b^5$

Question 22 :
Identify the greater number, wherever possible, in each of the following? ${4^3}$ or ${3^4}$

Question 27 :
Express the number appearing in the statement in standard form: Diameter of the Earth is 1,27,56,000 m.

Question 28 :
Express each of the following as product of powers of their prime factors: 405

Question 29 :
Using laws of exponents, simplify and write the answer in exponential form: $3^2\times3^4\times3^8$

Question 30 :
Simplify and write in exponential form: $5^3 × 5^7 × 5^{12}$

Question 33 :
Express the number appearing in the statement in standard form: The universe is estimated to be about 12,000,000,000 years old.

Question 35 :
Can you tell which one is greater $5^2$ × 3 or $(5^2)^3$ ?

Question 37 :
Express each of the following as product of powers of their prime factors: 648

Question 38 :
Using laws of exponents, simplify and write the answer in exponential form: $a^4 \times b^4$

Question 41 :
Expand by expressing powers of 10 in the exponential form: 176428

Question 42 :
Put into another form using $a^m$ ÷ $b^m$ = $(\frac{a}{b})^m$ : $4^5\div3^5$

Question 43 :
Express the number appearing in the statement in standard form: The earth has 1,353,000,000 cubic km of sea water

Question 47 :
State true or false - in the expanded form, 20068 = 2 × $10^4$ + 0 × $10^2$ + 6 × $10^1$ + 8 × $10^0$

Question 48 :
Express the following numbers as a product of powers of prime factors: 72

Question 50 :
Put into another form using $a^m$ × $b^m$ = $(ab)^m$ : $(-2)^4\times(-3)^4$

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