The value of (0.3) ^{[{(200 - 146)/(3 × 3 × 3)} - 3]} is:

The expression \(\frac{{15\left( {\sqrt {10} + \sqrt 5 } \right)}}{{\sqrt {10\;} + \sqrt {20} + \sqrt {40} - \sqrt 5 - \sqrt {80} }}\)  is equal to:

If x ^1/4 + x ^-1/4 = 2, then what is the value of x ⁸¹ + (1/ x ⁸¹ )?

Simplify:

\(\sqrt[3]{{ - 2197}} \times \sqrt[3]{{ - 125}} \div \sqrt[3]{{\frac{{27}}{{512}}}}\)

Find the cube root of (–13824)

OR Find the value of \(\sqrt[3]{{ - 13824}}\)

If \(x = \sqrt {-\sqrt 3 + \sqrt {3 + 8\sqrt {7 + 4\sqrt 3}}}\)  where x > 0, then the value of x is equal to:

What is the value of \(\frac{\sqrt{7}+\sqrt{5}}{\sqrt{7}−\sqrt{5}} \div \frac{\sqrt{14}+\sqrt{10}}{\sqrt{14}−\sqrt{10}}+\frac{\sqrt{10}}{\sqrt{5}}\) ?

One of the factors of (8 ^2k + 5 ^2k ), where k is an odd number, is:

What is the value of \(\sqrt {4600 + \sqrt {540 + \sqrt {1280 + \sqrt {250 + \sqrt {36} } } } } \;?\)

The cube root of - 64 × - 1331 is:

If (27) ^m = (81) ⁿ, then m ²: mn = ?

if 49 n +  49 n  +  49 n  +  49 n  +  49 n  +  49 n +  49 n  = 7 ²²²¹ , then n = ? 

If a ^x= b ^y= c ^zand b ²= ac then y =