Test Details

Exponents And Power

Jan 29, 6:00 PM

120 minutes

Jan 30, 6:00 PM

100.0 marks

MCQ

50 questions

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Science

Maths

Science

Maths

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Question Text

Question 1 :
State whether TRUE or FALSE: $600060 = 6 \times 10^{5} + 6 \times 10^{2}$

Question 4 :
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 5 :
Express the following as a product of powers of their prime factors: 800

Question 6 :
Find the product of the square of $x$ with the cube of $x$.

Question 8 :
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 9 :
$a^m\times a^n=a^x$, where $x$ is the _________ of $m$ and $n$.

Question 10 :
Express the following as a product of powers of their prime factors: 9000

Question 23 :
To multiply powers with the same base, we _____ their exponents.

Question 25 :
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 27 :
Express the following in exponential form : $s\times s\times t\times t\times s\times s\times t$

Question 28 :
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 34 :
State whether TRUE or FALSE: $8 \times 10^6 + 2 \times 10^4 + 5 \times 10^2 + 9 \times 10^0 = 8020509$

Question 36 :
For non-zero numbers a and b, $\left(\frac{a}{b}\right)^m\div\left(\frac{a}{b}\right)^n$, where m > n, is equal to

Question 37 :
Very large numbers can be expressed in standard form, also known as _______ notation.

Question 41 :
Any number that has an exponent of 0 is equal to

Question 45 :
State whether true or false: $\frac{a^4}{b^3} = \frac{a +a + a + a}{b + b + b}$

Question 47 :
For a non-zero rational number $x$, $x^8 \div\ x^2$ is equal to

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