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Exponents and Powers - NCERT

Math

Feb 05, 1:30 PM

60 minutes

Feb 05, 2:30 PM

100.0 marks

MCQ

50 questions

Gopaljee Thakur

i am best guideline

Class Details

Math

Science

Sst

Class 7

Math

Science

Sst

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Question Text

Question 8 :
Express the following in exponential form: 6 × 6 × 6 × 6

Question 12 :
Express the number appearing in the statement in standard form: The population of India was about 1,027,000,000 in March, 2001.

Question 13 :
Using laws of exponents, simplify and write the answer in exponential form: $6^{15} \div 6^{10}$

Question 14 :
Simplify and write in exponential form: $a^3$ × $a^2$ × $a^7$

Question 15 :
Using laws of exponents, simplify and write the answer in exponential form: $8^t\times8^2$

Question 17 :
Find the number from expanded form: 3 × $10^4$ + 7× $10^2$ + 5× $10^0$

Question 18 :
Express the following numbers as a product of powers of prime factors: 432

Question 22 :
Find the number from expanded form: 9 × $10^5$ + 2× $10^2$ + 3× $10^1$

Question 23 :
State true or false - in the expanded form, 279404 = 2 × $10^5$ + 7 × $10^4$+ 9 × $10^3$ + 4 × $10^2$ + 0 × $10^1$ + 4 ×$10^0$

Question 24 :
Using laws of exponents, simplify and write the answer in exponential form: $(2^{20}\div2^{15})\times2^3$

Question 28 :
Put into another form using $a^m$ ÷ $b^m$ = $(\frac{a}{b})^m$ : $2^5\div b^5$

Question 29 :
Expand by expressing powers of 10 in the exponential form: 176428

Question 34 :
Express each of the following as product of powers of their prime factors: 648

Question 35 :
Put into another form using $a^m$ × $b^m$ = $(ab)^m$ : $4^3\times2^3$

Question 37 :
Put into another form using $a^m$ ÷ $b^m$ = $(\frac{a}{b})^m$ : $(-2)^3 \div b^3$

Question 38 :
Expand by expressing powers of 10 in the exponential form: 5643

Question 41 :
Expand by expressing powers of 10 in the exponential form: 56439

Question 43 :
Express the number appearing in the statement in standard form: The distance between Earth and Moon is 384,000,000 m.

Question 44 :
Express each of the following as product of powers of their prime factors: 3600

Question 45 :
Express the following numbers as a product of powers of prime factors: 1000

Question 46 :
Identify the greater number, wherever possible, in each of the following? ${4^3}$ or ${3^4}$

Question 47 :
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 49 :
Express the number appearing in the statement in standard form: The universe is estimated to be about 12,000,000,000 years old.

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