Write the following in the form of 5ⁿ:
\(\frac{1}{5}\)

Write the following in the form of 4ⁿ:
32

Find the value of \(\left( 49 \right) ^{ \frac { 1 }{ 2 } }\)

Find the value of \(\left( \frac { 64 }{ 125 } \right) ^{ \frac { -2 }{ 3 } }\)

If x = \(\sqrt{5}\) + 2, then find the value of \({ x }^{ 2 }+\frac { 1 }{ { x }^{ 2 } } \)

Represent the following numbers in the scientific notation:
(i) 569430000000
(ii) 2000.57
(iii) 0.0000006000
(iv) 0.0009000002

Simplify: (2.75 \(\times\)10⁷)+(1.23 \(\times\) 10⁸)

Express the surds in the simplest form \(\sqrt{8}\)

Express the surds in the simplest form \(\sqrt [ 3 ]{ 192 } \)

Multiply \(\sqrt [ 3 ]{ 40 } \) and \(\sqrt [ 3 ]{ 16 } \) .