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Exponents and Powers - NCERT

Feb 05, 2:00 PM

60 minutes

Feb 06, 3:57 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 1 :
Put into another form using $a^m$ × $b^m$ = $(ab)^m$ : $5^6\times(-2)^6$

Question 2 :
Express the following in exponential form: 6 × 6 × 6 × 6

Question 3 :
Express the number appearing in the statement in standard form: ) 60,230,000,000,000,000,000,000 molecules are contained in a drop of water weighing 1.8 gm.

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

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

Question 6 :
Identify the greater number, wherever possible, in each of the following? ${2^8}$ or ${8^2}$

Question 7 :
Put into another form using $a^m$ × $b^m$ = $(ab)^m$ : $2^5\times b^5$

Question 8 :
Find the number from expanded form: 4 × $10^5$ + 5× $10^3$ + 3× $10^2$ + 2×$10^0$

Question 9 :
Express the following numbers as a product of powers of prime factors: 16000

Question 11 :
Find the number from expanded form: 3 × $10^4$ + 7× $10^2$ + 5× $10^0$

Question 12 :
Express each of the following as product of powers of their prime factors: 405

Question 13 :
On expanding : $(\frac{-4}{7})^3$ = $\frac{-4 × -4 × -4 }{ 7 × 7 × 7 }$. Is it true or false ?

Question 14 :
Using laws of exponents, simplify and write the answer in exponential form: $6^{15} \div 6^{10}$

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

Question 19 :
Express the number appearing in the statement in standard form: Diameter of the Sun is 1,400,000,000 m

Question 22 :
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 :
Put into another form using $a^m$ ÷ $b^m$ = $(\frac{a}{b})^m$ : $(-2)^3 \div b^3$

Question 25 :
Using laws of exponents, simplify and write the answer in exponential form: $3^2\times3^4\times3^8$

Question 26 :
Simplify and write the answer in the exponential form: $6^2$ × $6^4$ ÷ $6^3$

Question 28 :
Simplify and write the answer in the exponential form: $8^2$ ÷ $2^3$

Question 29 :
Put into another form using $a^m$ × $b^m$ = $(ab)^m$ : $a^2\times t^2$

Question 34 :
Express the following numbers as a product of powers of prime factors: 72

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

Question 40 :
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 41 :
Put into another form using $a^m$ × $b^m$ = $(ab)^m$ : $4^3\times2^3$

Question 42 :
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 43 :
Express each of the following as product of powers of their prime factors: 540

Question 47 :
Simplify and write the answer in the exponential form: $\frac{3^7}{3^2}$ × $3^5$

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