1. Find the simplest value of $${\text{2}}\sqrt {50} $$ + $$\sqrt {18} $$ - $$\sqrt {72} $$ = ?(given $$\sqrt 2 $$ = 1.414)
2. 553 + 173 - 723 + 201960 is equal to = ?
3. The simplification value of $$\left( {\sqrt 3 + 1} \right)$$ $$\left( {10 + \sqrt {12} } \right)$$ $$\left( {\sqrt {12} - 2} \right)$$ $$\left( {5 - \sqrt 3 } \right)$$ is = ?
4. $$\frac{1}{{1 + {a^{\left( {n - m} \right)}}}} + \frac{1}{{1 + {a^{\left( {m - n} \right)}}}} = ?$$
5. $$\frac{1}{{1 + {x^{\left( {b - a} \right)}} + {x^{\left( {c - a} \right)}}}} \,+ $$ $$\frac{1}{{1 + {x^{\left( {a - b} \right)}} + {x^{\left( {c - b} \right)}}}} \,+ $$ $$\frac{1}{{1 + {x^{\left( {b - c} \right)}} + {x^{\left( {a - c} \right)}}}} = ?$$
6. $${\left( {\frac{{{x^b}}}{{{x^c}}}} \right)^{\left( {b + c - a} \right)}}.$$ $${\left( {\frac{{{x^c}}}{{{x^a}}}} \right)^{\left( {c + a - b} \right)}}.$$ $${\left( {\frac{{{x^a}}}{{{x^b}}}} \right)^{\left( {a + b - c} \right)}} = ?$$
7. If 2n-1 + 2n+1 = 320, then the value of n is = ?
8. 461 + 462 + 463 + 464 is divided by = ?
9. The value of $${\left( {{x^{\frac{{b + c}}{{c - a}}}}} \right)^{\frac{1}{{a - b}}}}{\text{.}}$$ $${\left( {{x^{\frac{{c + a}}{{a - b}}}}} \right)^{\frac{1}{{b - c}}}}.$$ $${\left( {{x^{\frac{{a + b}}{{b - c}}}}} \right)^{\frac{1}{{c - a}}}}{\text{ is = ?}}$$
10. If ax = b, by = c and cz = a, then the value of xyz is = ?
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