Question 2 :
If $(ab^{-1})^{2x - 1} = (ba^{-1})^{x - 2}$, then what is the value of x?
Question 5 :
State true or false<br/>$\displaystyle (8x^3 \div 125y^3)^{\frac {2}{3}}$, then answer is $\displaystyle \frac {4x^2}{25y^2}$<br/>
Question 7 :
<span>Find x, if:</span><div><br/></div><div>$\displaystyle (\sqrt {\dfrac {3}{5}})^{x + 1} = \dfrac {125}{27}$</div>
Question 8 :
The cubes of all even number between 1 and 5 are .........
Question 11 :
If 9$^{x+2}$= 240 + 9$^{x}$ then the value of x is:
Question 12 :
The value of $x - y^{(x-y)}$ when $x = 2$ and $y = -2$ is
Question 13 :
<div><span>State true or false:<br/></span></div><span>If $x = 3$ and $y = -2$, the value of </span>$\displaystyle x^y + y^x$ is $\displaystyle -7 \dfrac {8}{9}$.<br/>
Question 14 :
The value of $[ 5 (8^{\tfrac 13} + 27^{\tfrac 13} )^3 ]^{\tfrac 14}$ is
Question 15 :
If $2^ {x + 7} = 2048$ and $4^x . 3^y = 768$, then the value of $\left({x^2} + {y^3} \right)$ is
Question 16 :
Find the cube of $\displaystyle 2.3\times { 10 }^{ 7 }$.<br/>
Question 17 :
Cube of any positive integer is of the form $9m$, $9m +1$ or $9m +8$, where $m$ is a non-negative integer.
Question 18 :
The last digit of the value of the number $2003^{2002} + 2001^{2002}$ is ___.
Question 19 :
If $\displaystyle 2^{x}-2^{x-1}=4$, then what is the value of $\displaystyle 2^{x}+2^{x-1}$?
Question 20 :
Value of $\displaystyle 2^{4}\times \left ( -3 \right )^{2}\times 4^{2}\times \left ( -5 \right )^{2}$ is
Question 21 :
<div><div>State true or false:</div></div><div><span>If a number ends with $5$, then its cube ends with $5$.</span><br/></div>
Question 23 :
<div>State true or false:</div>A perfect cube may end with two zeros.
Question 24 :
Choose the correct answer from the alternatives given.<br>If $x \, = \, 2^{\frac{1}{3}} \, + \, 2^{\frac{-1}{3}}$ then the value of $2x^3 \, - \, 6x$ will be
Question 25 :
State true or false:<div>There is no perfect cube which ends with $8$.</div>