Question

Can someone help with this qs pls? 4 − (−4)^−3

Answer 1

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

• Solve ⇨ 4 - (- 4)^-3

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

$\sf \: 4 - ( - 4 ) ^ { - 3 }$

Calculate -4 to the power of -3 and get -1/64.

$\dashrightarrow \sf \: ( - 4) ^{3 } \\ = \sf-\frac{1}{4 ^{3} } \\ = \sf - \frac{ 1}{4} \times - \frac{ 1}{4} \times - \frac{ 1}{ 4} \\ = \sf \: - \frac{ 1}{64}$

Come back to the equation & substitute -4³ as -1/64.

$\sf \: 4-\left(-\frac{1}{64}\right)$

The opposite of -1/64 is +1/64.

$\sf \: 4+\frac{1}{64}$

Add 4 and 1/64 to get 257/64 (take 64 as the LCM).

$\boxed{ \boxed{ \bf\frac{257}{64} = 4.01}}$