Question Text
Question 1 :
Find: <span>${ (46656) }^{ \dfrac { -1 }{ 6 } }$</span>
Question 4 :
$\left ( \frac{64}{125} \right )^{-2/3}\div \frac{1}{\left ( 256/625 \right )^{1/4}}+\left ( \frac{(\sqrt{25})}{\sqrt[3]{64}} \right )^{0} = $<br>
Question 5 :
The number which is multiplied by $(-8)^{-1}$ to obtain a product equal to $10^{-1}$ is ___ .
Question 6 :
If $x$ is any non-zero number and $m < n$, then $\displaystyle \frac {x^m}{x^n}$ is
Question 11 :
The value of $\displaystyle \frac { { 2 }^{ -14 }+{ 2 }^{ -15 }+{ 2 }^{ -16 }+{ 2 }^{ -17 } }{ 5 } $ is how many times the value of $\displaystyle { 2 }^{ -17 }$ ?
Question 12 :
Choose the correct answer from the given four options:<br>The value of $(6^{-1}-8^{-1})^{-1}$ is<br><br>
Question 13 :
State whether the folloiwng statement is true (T) or false (F):<br>$x^m + x^m = x^{2m}$ where $x$ is a non-zero rational number and $m$ is a positive integer. <br><br>
Question 14 :
If $5^{2x-1} - (25)^{x-1} = 2500$, then the value of $x$ is ____.
Question 15 :
The product of $\sqrt [ 3 ]{ 2 } $ and $\sqrt { 2 } $ is:
Question 18 :
If 1 mg $ns^{-1}$ = $10^x \mu g ps^{-1}$, then the value of x is _________.<br/>
Question 19 :
Find the value of $m$ for which: $100^{m} \div 100^{-4} = 100^{8}$
Question 22 :
If $x = 1 - e^t$ and $y = 1 + e^{-t}$, find $y$ in terms of $x$.
Question 24 :
$\displaystyle \frac { { \left( 3.63 \right) }^{ 2 }-{ \left( 2.37 \right) }^{ 2 } }{ 3.63+2.37 } $ is simplified to -
Question 25 :
If $\displaystyle { 2 }^{ n }-{ 2 }^{ n-1 }=4$, then the value of $\displaystyle { n }^{ n }$ will be -