What is -((-4)/4)^3-4-1^2 ?

The solution to -((-4)/4)^3-4-1^2 is -4

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-((-4)/4)^3-4-1^2

- (\frac{- 4}{4})^{3} - 4 - 1^{2}

- 4

Solution steps

- (\frac{- 4}{4})^{3} - 4 - 1^{2}

Simplify

\frac{- 4}{4} : - 1

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{4}{4}

Apply rule

\frac{a}{a} = 1

= - 1

= - (- 1)^{3} - 4 - 1^{2}

Follow the PEMDAS order of operations

Calculate exponents

(- 1)^{3} : - 1

(- 1)^{3}

Apply exponent rule:

(- a)^{n} = - a^{n},

n

is odd

(- 1)^{3} = - 1^{3} = - 1

= - 1

= - (- 1) - 4 - 1^{2}

Calculate exponents

1^{2} : 1

1^{2}

1^{2} = 1

= 1

= - (- 1) - 4 - 1

Add and subtract (left to right)

- (- 1) - 4 - 1 : - 4

- (- 1) - 4 - 1

Apply rule

- (- a) = a

- (- 1) = 1

= 1 - 4 - 1

1 - 4 = - 3

= - 3 - 1

- 3 - 1 = - 4

= - 4

= - 4

(- 5) \cdot (7 + 6) - 48 \div (- 8)

39 + 169 \div 13 + (450 \div 15) - 1^{3}

6 (- 7) + 1 - 8 (- 6)

(5 - 8) (5 - 10)

- 3 (- 6 + 4)^{2} + 3