Question 1 :
Choose the correct answer form the alternatives given.<br>If$\displaystyle 5^{x \, + \, 3} \, =\, (25)^{3x \, - \, 4},$ thenwhat is the value of x?
Question 2 :
The value of $\left (\left (\left (\left (4\right )^{2}\right )^{1/2}\right )^{2}\right )^{1/2}$ is ________.
Question 3 :
Simplification of  $\displaystyle \left ( \frac{3}{5} \right )^{3} \times \left ( \frac{15}{2} \right )^{3}$ is $\dfrac{729}{8}$<br/>
Question 7 :
Given that $m^2 = 27^{2/3}\times 16^{-3/2}$, find the value of m.
Question 14 :
Simplify and give reasons:<br>$\left[ { \left( \cfrac { 3 }{ 2 } \right) }^{ -2 } \right] ^{ 2 }$
Question 15 :
If $ \left( \dfrac {1}{x} \right)^{ - \dfrac{3}{4}} = 8 $ then $x=$
Question 18 :
If $4^{n-2} + 4^{2} = 32$, then what is the value of $n$?
Question 20 :
If x =2, y = 3 then $\displaystyle \frac {1}{x^y}\, +\,\displaystyle \frac {1}{y^x}$ = .........
Question 22 :
State true or false: $\displaystyle \left [ \left ( \frac{3}{7} \right )^{2}\right ]^3 = \left ( \frac{3}{7} \right )^{5}$
Question 29 :
Solve for x<br/>${5^{x + 1}}\, - {5^{x - 2}} = 620$<br/>
Question 33 :
If $3^{n} = n^{6}$, find the value of $ n^{18} $
Question 34 :
Given: $x, y$ and $z$ are integers and $3^{x + 5} = 27^{y + 1}$, then $x$ is even.
Question 38 :
Sanjeev scored 1,086,000 points in a video game. Which of the following expressions below is equal to 1,086,000?