Question Text
Question 3 :
The value of $(-3)^0 - (-3)^3 - (-3)^{-1} + (-3)^4 - (-3)^{-2}$ is
Question 4 :
If $x > 0$, which is equal to $\sqrt { { x }^{ 3 } } $?<br/>What is possible value of x$(i) x+x^{\frac{1}{2}} \ \ (ii) (x^{\frac{1}{2}})^3(iii)(x^2)(x)^{\frac{-1}{2}}$<br/>
Question 6 :
Give that$\displaystyle 10^{0.48}=x$ and$\displaystyle 10^{0.70}=y$ and$\displaystyle x^{z}=y^{2}$ then find the approximate value of z ?
Question 11 :
In the $5$th term of $(x+y)^n$, the exponent of y is $4$, then the exponent of y in the $8$th term is
Question 13 :
If$\displaystyle A=\left ( -\frac{3}{4} \right )^{3},B=\left ( -\frac{2}{5} \right )^{2},C=\left ( 0.3 \right )^{2},D=\left ( -1.2 \right )^{2}$ then
Question 14 :
State whether the following statement is true (T) or false (F):<br>$\dfrac{2^3}{7} < \bigg(\dfrac{2}{7}\bigg)^3$<br><br>
Question 16 :
If $5^{k^2}(25^{2k})(625) = 25\sqrt{5}$ and $k < -1$, find the value of $k$.
Question 17 :
Let $f(x)=x^{100}$. If $f(x)$ is divided by $x^{2}+x,$ then the remainder is $r(x)$.Find the value of $r(5)$?<br>
Question 18 :
$\dfrac{2^{n + 4} - 2 \times 2^n}{2 \times 2^{n + 3}} + 2^{-3} = $ ?