What is -3-(-2)(5)-(-4)^3 ?

The solution to -3-(-2)(5)-(-4)^3 is 71

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-3-(-2)(5)-(-4)^3

- 3 - (- 2) (5) - (- 4)^{3}

71

Solution steps

- 3 - (- 2) (5) - (- 4)^{3}

Follow the PEMDAS order of operations

Calculate exponents

(- 4)^{3} : - 64

(- 4)^{3}

Apply exponent rule:

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

n

is odd

(- 4)^{3} = - 4^{3} = - 64

= - 64

= - 3 - (- 2) (5) - (- 64)

Multiply and divide (left to right)

(- 2) (5) : - 10

(- 2) (5)

Apply rule

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

(- 2) (5) = - 2 \cdot 5 = - 10

= - 10

= - 3 - (- 10) - (- 64)

Add and subtract (left to right)

- 3 - (- 10) - (- 64) : 71

- 3 - (- 10) - (- 64)

Apply rule

- (- a) = + a

- (- 10) = + 10

= - 3 + 10 - (- 64)

- 3 + 10 = 7

= 7 - (- 64)

Apply rule

- (- a) = + a

- (- 64) = + 64

= 7 + 64

7 + 64 = 71

= 71

= 71

5 - 1 \frac{1}{5} \times 1 \frac{2}{3}

(2)^{2} - 6 (2) + 5

(2)^{3} - 2

(- 6)^{2} - 4 (1) (9)

0 - (1 \times 1)