What is -7-(-2)(4)-(-1)^3 ?

The solution to -7-(-2)(4)-(-1)^3 is 2

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-7-(-2)(4)-(-1)^3

- 7 - (- 2) (4) - (- 1)^{3}

2

Solution steps

- 7 - (- 2) (4) - (- 1)^{3}

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

= - 7 - (- 2) (4) - (- 1)

Multiply and divide (left to right)

(- 2) (4) : - 8

(- 2) (4)

Apply rule

(- a) \cdot (b) = - a \cdot b

(- 2) (4) = - 2 \cdot 4 = - 8

= - 8

= - 7 - (- 8) - (- 1)

Add and subtract (left to right)

- 7 - (- 8) - (- 1) : 2

- 7 - (- 8) - (- 1)

Apply rule

- (- a) = + a

- (- 8) = + 8

= - 7 + 8 - (- 1)

- 7 + 8 = 1

= 1 - (- 1)

Apply rule

- (- a) = + a

- (- 1) = + 1

= 1 + 1

1 + 1 = 2

= 2

= 2

8 \div 2 (1 + 3) - 2^{3}

3 \times 1 + 1

1 0^{2} - 4^{3}

(+ 174) + (+ 32) + (- 27) + (- 47) + (- 89)

3^{2} + 5 \cdot 3 + 6