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Exponents And Power

Feb 01, 7:00 PM

90 minutes

Feb 01, 8:30 PM

100.0 marks

MCQ

50 questions

Ankit singh

i am diploma holder in mechanical automobile

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Class 7th

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Question Text

Question 2 :
State whether true of false: $4 \times\ 10^5 + 3 \times\ 10^4 + 2 \times\ 10^3 + 1 \times\ 10^0 = 432010$

Question 5 :
State whether TRUE or FALSE: $8 \times 10^6 + 2 \times 10^4 + 5 \times 10^2 + 9 \times 10^0 = 8020509$

Question 6 :
Simplify and express the following in exponential form: $\left(\frac{a^6}{a^4}\right)\times a^5\times a^0$

Question 7 :
State whether TRUE or FALSE: $(5\hspace{1mm} . 2)^{4} = 5^{4} . 2^{4}$

Question 8 :
The speed of light in vaccum is $3 × 10^8$ m/s. Sunlight takes about 8 minutes to reach the earth. Express distance of Sun from Earth in standard form.

Question 11 :
State whether true of false: In the standard form, a large number can be expressed as a decimal number between 0 and 1, multiplied by a power of 10.

Question 15 :
Find the product of the square of $x$ with the cube of $x$.

Question 17 :
State whether true or false: $a^b >b^a$ is true if a = 3 and b = 4; but false, if a = 2 and b = 3.

Question 18 :
A light year is the distance that light can travel in one year. 1 light year = 9,460,000,000,000 km. Express one light year in scientific notation.

Question 23 :
Express the following in exponential form : $s\times s\times t\times t\times s\times s\times t$

Question 24 :
Fill in the blank: To express any number in scientific notation, write it as the product of a power of _____ and a number greater than or equal to 1 but less than 10.

Question 27 :
For a non-zero rational number $x$, $x^8 \div\ x^2$ is equal to

Question 28 :
State TRUE or FALSE: The exponent tells you how many times the base is repeated as a factor in the multiplication

Question 32 :
$a^m\times a^n=a^x$, where $x$ is the _________ of $m$ and $n$.

Question 37 :
Fill in the blanks with <, > or $=$ sign, $7^4$____$5^4$

Question 39 :
State whether true or false: $x^m\times x^n=x^{m+n}$, where x is a non-zero rational number and m,n are positive integers.

Question 40 :
Express the following as a product of powers of their prime factors: 9000

Question 41 :
Express the following in exponential form : $3\times3\times3\times a\times a\times a\times a$

Question 42 :
Identify the greater number, $7.9 \times 10^4$ or $5.28 \times 10^5$

Question 43 :
State whether true of false: $5^0 \times\ 25^0 \times\ 125^0 = (5^0)^6$

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