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-(1)/(4 ^(3) ) \\ = \sf - ( 1)/(4) * - ( 1)/(4) * - ( 1)/( 4) \\ = \sf \: - ( 1)/(64)`

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

`\sf \: 4-\left(-(1)/(64)\right) \\`

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

`\sf \: 4+(1)/(64) \\`

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

`\boxed{ \boxed{ \bf(257)/(64) = 4.01}}`