31). Which one of the following is biggest?\( \Large \sqrt[3]{4},\sqrt[4]{6},\sqrt[6]{15},\sqrt[12]{245} \)
| A). \( \Large \sqrt[3]{4} \) |
| B). \( \Large \sqrt[4]{6} \) |
| C). \( \Large \sqrt[6]{15} \) |
| D). \( \Large \sqrt[12]{245} \) |
|
32). Simplify:\( \Large \left[ \sqrt[3]{\sqrt[6]{5^{9}}} \right]^{4}\left[ \sqrt[3]{\sqrt[6]{5^{9}}} \right]^{4} \)
| A). \( \Large 5^{2} \) |
| B). \( \Large 5^{4} \) |
| C). \( \Large 5^{8} \) |
| D). \( \Large 5^{12} \) |
|
33). If \( \Large 27^{2n-1}= \left(243\right)^{3} \) then the value of n is:
|
34). If \( \Large 3^{x+8}=27^{2x+1} \) then value of x is:
|
35). \( \Large \left(\sqrt{8}-\sqrt{4}-\sqrt{2}\right) \) equales:
| A). \( \Large 2-\sqrt{2} \) |
| B). \( \Large \sqrt{2}-2 \) |
| C). 2 |
| D). -2 |
|
36). \( \Large 8^{\frac{2}{3}} \) is equal to:
| A). \( \Large 5\frac{1}{2} \) |
| B). \( \Large 21\frac{1}{3} \) |
| C). 4 |
| D). \( \Large 3\frac{1}{2} \) |
|
37). The simplified form of \( \Large \left(16^{\frac{3}{2}}+16^{\frac{-3}{2}}\right) \)is:
| A). 0 |
| B). \( \Large \frac{4097}{64} \) |
| C). 1 |
| D). \( \Large \frac{16}{4097} \) |
|
38). \( \Large 16^{\frac{3}{4}} \) is equal to:
| A). \( \Large 4\sqrt{2} \) |
| B). 8 |
| C). \( \Large 2\sqrt{2} \) |
| D). 16 |
|
39). \( \Large \left(0.01024\right)^{\frac{1}{5}}\) is equal to:
| A). 4 |
| B). 0.04 |
| C). 0.4 |
| D). 0.00004 |
|
40). \( \Large \left(16^{0.16} \times 2^{0.36}\right) \) is equal to:
| A). 2 |
| B). 16 |
| C). 32 |
| D). 64 |
|
