Question

what is the value of -2^-4

Answer 1

$\pink{ \bold{ \underline{ \large{ \Longrightarrow{ { - 2}^{ - 4} }}}}}$

$\pink{ \bold{ \underline{ \large{ \Longrightarrow{ ({ \frac{1}{ - 2}) }^{4} }}}}}$

$\pink{ \bold{ \underline{ \large{ \Longrightarrow{ ({ \frac{1\times1\times1\times1}{( - 2) \times ( - 2) \times ( - 2) \times ( - 2)}) }^{} }}}}}$

$\pink{ \bold{ \underline{ \large{ \Longrightarrow{( \frac{1}{4 \times 4}) }}}}}$

$\green{ \large{ \bold{ \underline{ \large{ \Longrightarrow{ \frac{1}{16} }}}}}}$

$\orange{ \bold{ \underline{ \bigstar{hope \: it \: helps \: you}}}}$

Answer 2

Answer:

1/16

Step-by-step explanation:

${ - 2}^{ - 4} \\ = { (\frac{1}{ - 2}) }^{4} \\ = \frac{1}{16}$

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