Q.1
$${8^{2.4}} \times {2^{3.7}} \div {\left( {16} \right)^{1.3}} = {2^?}$$
Q.2
If 3(x+y) = 81 and 81(x-y) = 3, then the value of x is = ?
Q.3
Simplified from of $${\left[ {{{\left( {\root 5 \of {{x^{ - \frac{3}{5}}}} } \right)}^{ - \frac{5}{3}}}} \right]^{ - 5}} = ?$$
Q.4
If $$\sqrt 3 $$ = 1.732 is given, then the value of $$\frac{{2 + \sqrt 3 }}{{2 - \sqrt 3 }}$$  is = ?
Q.5
Evaluate: $$16\sqrt {\frac{3}{4}} - 9\sqrt {\frac{4}{3}} $$    if $$\sqrt {12} $$  = 3.46
Q.6
$${2^{3.6}} \times {4^{3.6}} \times {4^{3.6}} \times {(32)^{2.3}} = $$      $${\left( {32} \right)^?}$$
Q.7
If $${{\text{5}}^{\left( {x + 3} \right)}}{\text{ = 2}}{{\text{5}}^{(3x - 4)}}$$    then the value of x is = ?
Q.8
$$\frac{{{2^{n + 4}} - 2\left( {{2^n}} \right)}}{{2\left( {{2^{n + 3}}} \right)}}$$    when simplified is = ?
Q.9
If $$a = \frac{{\sqrt 5 + 1}}{{\sqrt 5 - 1}}$$   and $$b{\text{ = }}\frac{{\sqrt 5 - 1}}{{\sqrt 5 + 1}}$$   then the value of $$\left( {\frac{{{a^2} + ab + {b^2}}}{{{a^2} - ab + {b^2}}}} \right)$$    is = ?
Q.10
Given that $$\sqrt 5 $$ = 2.236 and $$\sqrt 3 $$ = 1.732, then the value of $$\frac{1}{{\sqrt 5 + \sqrt 3 }}{\text{ is = ?}}$$
Q.11
If $${\left( {\frac{3}{5}} \right)^3}{\left( {\frac{3}{5}} \right)^{ - 6}} = {\left( {\frac{3}{5}} \right)^{2x - 1}}$$     then x is equal to ?
Q.12
If $${\text{5}}\sqrt 5 \times {5^3} \div {5^{ - \frac{3}{2}}}{\text{ = }}{{\text{5}}^{a + 2}}$$     then the value of a is = ?
Q.13
Simplified from of $${\left[ {{{\left( {\root 5 \of {{x^{ - \frac{3}{5}}}} } \right)}^{ - \frac{5}{3}}}} \right]^5}$$   is = ?
Q.14
What will come in place of both the question marks in the following question : $$\frac{{{{\left( ? \right)}^{\frac{2}{3}}}}}{{42}} = \frac{5}{{{{\left( ? \right)}^{\frac{1}{3}}}}}$$
Q.15
The value of $${\left( {\frac{{32}}{{243}}} \right)^{ - \frac{4}{5}}}$$   is = ?
Q.16
$$\frac{{12}}{{3 + \sqrt 5 + 2\sqrt 2 }}$$    is equal to = ?
Q.17
The simplified form of $$\frac{2}{{\sqrt 7 + \sqrt 5 }} + $$   $$\frac{7}{{\sqrt {12} - \sqrt 5 }} - $$   $$\frac{5}{{\sqrt {12} - \sqrt 7 }}$$   is = ?
Q.18
Find the value of x in the expression : $$\root 4 \of {3x + 1} = 2$$
Q.19
The value of $${{\text{5}}^{\frac{1}{4}}} \times {\left( {125} \right)^{0.25}}$$    is = ?
Q.20
The value of $${\text{2}}{{\text{7}}^{ - \frac{2}{3}}}$$ lies between = ?
Q.21
The value of $$\frac{1}{{\sqrt {3.25} + \sqrt {2.25} }}$$    $$ +\, \frac{1}{{\sqrt {4.25} + \sqrt {3.25} }}$$    $$ +\, \frac{1}{{\sqrt {5.25} + \sqrt {4.25} }}$$    $$ +\, \frac{1}{{\sqrt {6.25} + \sqrt {5.25} }}$$ &nbsp  is = ?
Q.22
$${\left( 6 \right)^4} \div {\left( {36} \right)^3} \times 216 = {6^{\left( {? - 5} \right)}}$$
Q.23
The value of $${\left( {256} \right)^{\frac{5}{4}}}$$  is = ?
Q.24
$$\sqrt {2 + \sqrt {2 + \sqrt {2 + ......} } } $$      is equal to ?
Q.25
$$\left[ {8 - {{\left( {\frac{{{4^{\frac{9}{4}}}\sqrt {{{2.2}^2}} }}{{2\sqrt {{2^{ - 2}}} }}} \right)}^{^{\frac{1}{2}}}}} \right]$$     is equal to = ?
Q.26
$$\frac{{3\sqrt 2 }}{{\sqrt 6 + \sqrt 3 }} - $$  $$\frac{{2\sqrt 6 }}{{\sqrt 3 + 1}} + $$  $$\frac{{2\sqrt 3 }}{{\sqrt 6 + 2}}$$  is equal to = ?
Q.27
The value of $$\frac{1}{{{{\left( {216} \right)}^{ - \frac{2}{3}}}}}{\text{ + }}$$  $$\frac{1}{{{{\left( {256} \right)}^{ - \frac{3}{4}}}}}{\text{ + }}$$  $$\frac{1}{{{{\left( {32} \right)}^{ - \frac{1}{5}}}}}$$  is = ?
Q.28
The value of $$\root 3 \of {{2^4}\sqrt {{2^{ - 5}}\sqrt {{2^6}} } } $$    is = ?
Q.29
The value of $$\sqrt {2\sqrt {2\sqrt {2\sqrt {2\sqrt 2 } } } } = ?$$
Q.30
Simplify : (3)8 × (3)4 = ?
0 h : 0 m : 1 s