[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \sf \: 4 - ( - 4 ) ^ { - 3 }[/tex]
Calculate -4 to the power of -3 and get -1/64.
[tex] \dashrightarrow \sf \: ( - 4) ^{3 } \\ = \sf-\frac{1}{4 ^{3} } \\ = \sf - \frac{ 1}{4} \times - \frac{ 1}{4} \times - \frac{ 1}{ 4} \\ = \sf \: - \frac{ 1}{64} [/tex]
Come back to the equation & substitute -4³ as -1/64.
[tex] \sf \: 4-\left(-\frac{1}{64}\right) \\ [/tex]
The opposite of -1/64 is +1/64.
[tex] \sf \: 4+\frac{1}{64} \\ [/tex]
Add 4 and 1/64 to get 257/64 (take 64 as the LCM).
[tex] \boxed{ \boxed{ \bf\frac{257}{64} = 4.01}}[/tex]
