Question 2 :
The digit in the ten's place of a two-digit number is three times that in the one's places if the digits are reversed the new number will be 36 less than the original number Find the number
Question 4 :
The average distance between the Sun and a certainplanet is approximately $\displaystyle 2.3\times { 10 }^{ 14 }$inches. Whichof the following is closest to the average distancebetween the Sun and the planet, in kilometers?(1 kilometer is approximately $\displaystyle 3.9\times { 10 }^{ 4 }$ inches )
Question 7 :
If $9^n = 27^{n+1}$, then calculate the value of $2^n $.
Question 14 :
If $2^{p + 2} + 2^{p + 1} = 96$, then find the value of $ p$.
Question 15 :
The inverse of the function $f : R \rightarrow {x \in R : x < 1}$ given by $f(x)=\dfrac{e^{x}-e^{-x}}{e^{x}+e^{-x}},$ is 
Question 17 :
If ${ 9 }^{ x-1 }={ 3 }^{ 2x-1 }-486 $,then the value of x is:
Question 24 :
If $64^{x} = 4^{x^{2} - 4}$, then find the value of $x$.
Question 25 :
If $2^{3x - 2} = 16$, then calculate the value of $x $.
Question 26 :
If $x$ is a positive integer satisfying $x^7=k$ and $x^9=m$, which of the following must be equal to $x^{11}$?<br>
Question 28 :
If $\displaystyle a^{m}=b^{m}$ and $(m > 0)$, then which of the following options could be true:
Question 29 :
If $a^{b} = 4  -ab$ and $b^{a} = 1$, where $a$ and $b$ are positive integers, find $a$.
Question 30 :
If $2^x - {2^{x - 1}} = 4$ then $x^x$ is equals to 
Question 31 :
The thickness of paper is $0.004$ m and that of another paper is $0.008$ m. Compare their sizes.
Question 32 :
If $7^n\times 7^3 = 7^{12}$, what is the value of $n$?<br>
Question 33 :
Compare the size of a pen tip which is $0.000005$ m to that of the width of pen which is $ 0.0000249$ m.
Question 36 :
If $3^{n} = n^{6}$, find the value of $ n^{18} $
Question 38 :
Take $6$ less than a number $n$. If you raise this result to the $5th$ power, it is equal to $32$. Calculate the value of $n$.
Question 42 :
Place the following list of numbers with the given labels in order of greatest to least.<br/>$F={({10}^{10})}^{10}$<br/>$G={10}^{10}$ ${10}^{10}$<br/>$H=\cfrac{{10}^{100}}{{10}^{10}}$<br/>$I=100$
Question 45 :
The value of ${ \left[ { \left( { 3 }^{ 2 } \right) }^{ 2 } \right] }^{ -1 }$ is-
Question 46 :
If the surds $\sqrt{3}$, $\sqrt[4]{6}$,$\sqrt[8]{12}$ and$\sqrt[16]{24}$ are written in descending order, then the arrangement is
Question 47 :
If $n$ and $k$ are positive integers and $8^n=2^k$, what is the value of $\dfrac{n}{k}$?
Question 48 :
If $4^{2x + 2} = 64$, then calculate the value of $x $.
Question 49 :
$ \displaystyle 3^{x-y}=27 $  and  $ 3^{x+y}=243 $ , then $x$ is equal to