Question

[8^-4/3+2^-2]^1/2



Simplify it​

Answer 1

Answer:

$({\frac{ {8}^{ - 4} }{ ({3 + {2})^{ - 2} }} })^{ \frac{1}{2} } \\ {8}^{ - 4} = \frac{1}{ {8}^{4} } = \frac{1}{4096} \\ {(3 + 2)}^{ - 2} = {5}^{ - 2} = \frac{1}{ {5}^{ - 2} } = \frac{1}{25} \\ = {( \frac{25}{4096}) }^{ \frac{1}{2} } = \frac{ {(25)}^{ \frac{1}{2} } }{ {(4096)}^{ \frac{1}{2} } } = \frac{ {5}^{2 \times \frac{1}{2} } }{ {64}^{2 \times \frac{1}{2} } } \\ = \frac{5}{64} \\ \huge \bold{ \purple{mark \: my \: answer \: as \: brainliest.}}$