Q.1
The value of $\left({3}^{3}+{3}^{2}+{3}^{-2}+{3}^{-3}\right)$?

Q.2
$\frac{1}{1+{x}^{b-a}+{x}^{c-a}}+\frac{1}{1+{x}^{a-b}+{x}^{c-b}}$ The value of?

Q.3
If $x={y}^{a},y={z}^{b}$ and $z={x}^{c}$ So what is the value of abc?

Q.4
If ${\left(\frac{p}{q}\right)}^{n-1}={\left(\frac{q}{p}\right)}^{n-3},$ then what is the value of n?

Q.5
If $a$ and b are positive integers ${a}^{b}=125$ then  ${The value of \left(a-b\right)}^{a+b-4}$?

Q.6
$\sqrt[3]{4},\sqrt[4]{6},\sqrt[6]{15}$ and $\sqrt[12]{245}$ Which is the largest?

Q.7
Arrange following in decrease order ?$\sqrt[3]{4},\sqrt{2,}\sqrt[6]{3},\sqrt[4]{5}$

Q.8
If $\frac{\sqrt{7}-\sqrt{5}}{\sqrt{7}+\sqrt{5}}=a+b\sqrt{35}$ then what is the value of $\left(a-b\right)$ , where is $a$ Is a positive integer?

Q.9
$\frac{2\sqrt{3}}{\sqrt{10}-\sqrt{8}}$ what is the rational form of it’s?

Q.10
${\left(\frac{81}{169}\right)}^{-\frac{1}{2}}=?$

Q.11
${\left(\frac{32}{243}\right)}^{\frac{-4}{5}}=?$

Q.12
$\frac{{3}^{n+2}-{3}^{n+1}}{{3}^{n+4}+{3}^{n+1}}=?$

Q.13
${\left\{{\left({2}^{4}\right)}^{\frac{1}{2}}\right\}}^{?}=256$

Q.14
${8}^{3}×{8}^{2}×{8}^{-5}=?$

Q.15
${\left(\frac{1}{216}\right)}^{-\frac{2}{3}}÷{\left(\frac{1}{27}\right)}^{-\frac{4}{3}}=?$

Q.16
If ${2}^{2x}+4={16}^{x}$ then ${x}^{3}=?$

Q.17
If ${3}^{x+3}+7=250$ then $x=?$

Q.18
If ${5}^{x+3}={\left(25\right)}^{3x-4}$ then $x=?$

Q.19
If ${2}^{x-1}+{2}^{x+1}=320$ then $x=?$

Q.20
If ${2}^{x+4}-{2}^{x+2}=3$ then $x=?$

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