Question

Pls help me
look at the picture​

Answer 1

`\text{Given : Which expression is equivalent to} \: \frak{( {8}^(2))^( - 4)} \\ \\ \odot \quad\frak{ \frac{1}{ {8}^(2)}} \\ \\ \odot \quad\frak{ ( - 1)/(8 \cdot8 \cdot8 \cdot8\cdot8\cdot8\cdot8\cdot8)} \\ \\ \odot\quad\frak{ (1)/(8 \cdot8 \cdot8 \cdot8\cdot8\cdot8\cdot8\cdot8)} \\ \\ \odot \quad \frak{ {8}^(2) }`

`\text{Solution : For getting the answer we need to first simplify it } \\ \quad \dashrightarrow \frak{ ({8}^(2)) ^( - 4) } \\ \\ \quad \dashrightarrow \frak{{8}^(2( - 4)) } \\ \\ \quad \dashrightarrow \frak{ {8}^(( - 8)) } \\ \rm{now \: as \: the \: exponent \: is \: in \: negative \: so \: we \: need \: to \: bring \: 8 \: down \: in \:} \\ \rm{ form \: of \: denominator} \\ \\ \rm{so \: we \: get \: as} : \\ \\ \quad\hookrightarrow \frak{ \frac{1}{ {8}^(8)}} \\ \rm{as \: the \: exponent \: is \: 8 \: so \: we \: get \: to \: know \: that \: 8 \: is \: multplied \: 8 \: times \: with \: 8.} \\ \quad\hookrightarrow\frak{ (1)/(8 \cdot8 \cdot8 \cdot8\cdot8\cdot8\cdot8\cdot8)} \\ \\ \therefore \underline{ \boxed{ \sf{ \blue{option \: c} \: i.e.} \: \blue{\frak{(1)/(8 \cdot8 \cdot8 \cdot8\cdot8\cdot8\cdot8\cdot8)}} \: is \: the \: \blue{correct \: answer}}}`

Answer 2

third option is correct