What is -15-(-11)+5*(-4)^3 ?

The solution to -15-(-11)+5*(-4)^3 is -324

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-15-(-11)+5*(-4)^3

- 15 - (- 11) + 5 \cdot (- 4)^{3}

- 324

Solution steps

- 15 - (- 11) + 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

= - 15 - (- 11) + 5 (- 64)

Multiply and divide (left to right)

5 (- 64) : - 320

5 (- 64)

Apply rule

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

5 (- 64) = - 5 \cdot 64 = - 320

= - 320

= - 15 - (- 11) - 320

Add and subtract (left to right)

- 15 - (- 11) - 320 : - 324

- 15 - (- 11) - 320

Apply rule

- (- a) = + a

- (- 11) = + 11

= - 15 + 11 - 320

- 15 + 11 = - 4

= - 4 - 320

- 4 - 320 = - 324

= - 324

= - 324

15 + 21 \times 5 - 3 \times 4 + 9

[12 + (- 4) - 5] - 3

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

8^{2} - 3 (8)

- 5 - 3 [3 - 5 + (- 2)] + 4 - 6 [- 4 + 15]