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grin007 [14]
2 years ago
7

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

Mathematics
1 answer:
11Alexandr11 [23.1K]2 years ago
4 0

\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}}

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