Test Details

Exponents And Power

Feb 10, 1:00 PM

200 minutes

Feb 11, 10:00 PM

100.0 marks

MCQ

50 questions

Dhiraj Gupta

My name is Dhiraj kumar gupta. I have completed mechanical engineering from Uttrakhand technical university. I have been teaching mathematics since 2016.

Class Details

Maths

Class 7

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Question Text

Question 1 :
State whether true of false: $x^m + x^m = x^{2m}$, where x is a non-zero rational number and m is a positive integer.

Question 2 :
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 3 :
State whether TRUE or FALSE: $8 \times 10^6 + 2 \times 10^4 + 5 \times 10^2 + 9 \times 10^0 = 8020509$

Question 4 :
The standard form of the number 72105.4 is written as $7.21054 \times 10^n$ where $n$ is equal to

Question 6 :
The $(\frac{1}{4})^{th}$ of a cube unit contains about 97,700,000,000,000,000,000,000 atoms. This can be expressed in scientific notation as:

Question 12 :
To multiply powers with the same base, we _____ their exponents.

Question 14 :
Fill in the blank: When you are dividing two powers with the same base, _____ the second exponent from the first to give you the exponent of the answer.

Question 15 :
Express the following as a product of powers of their prime factors: 2025

Question 18 :
State whether true of false: $5^0 \times\ 25^0 \times\ 125^0 = (5^0)^6$

Question 22 :
Express the following as a product of powers of their prime factors: 9000

Question 23 :
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 24 :
By what number should we multiply $3^3$ so that the product may be equal to $3^7$?

Question 25 :
State whether TRUE or FALSE: $(5\hspace{1mm} . 2)^{4} = 5^{4} . 2^{4}$

Question 27 :
A light year is the distance that light can travel in one year. 1 light year = 9,460,000,000,000 km. The average distance between Earth and Sun is $1.496 × 10^8$km. Is the distance between Earth and the Sun greater than, less than or equal to one light year?

Question 30 :
In standard form, the number 829030000 is written as $K \times\ 10^8$ where K is equal to

Question 32 :
Very large numbers can be expressed in standard form, also known as _______ notation.

Question 38 :
The average size of an atom is about 0.00000003 centimetre across. This can be written in scientific notation as:

Question 43 :
State whether true or false: in $7^5$, base is 7 and exponent is 5

Question 48 :
Find the product of the square of $x$ with the cube of $x$.

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