What is (-4)^2-8(-4)+15 ?

The solution to (-4)^2-8(-4)+15 is 63

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(-4)^2-8(-4)+15

(- 4)^{2} - 8 (- 4) + 15

63

Solution steps

(- 4)^{2} - 8 (- 4) + 15

Follow the PEMDAS order of operations

Calculate exponents

(- 4)^{2} : 16

(- 4)^{2}

Apply exponent rule:

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

n

is even

(- 4)^{2} = 4^{2} = 16

= 16

= 16 - 8 (- 4) + 15

Multiply and divide (left to right)

8 (- 4) : - 32

8 (- 4)

Apply rule

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

8 (- 4) = - 8 \cdot 4 = - 32

= - 32

= 16 - (- 32) + 15

Add and subtract (left to right)

16 - (- 32) + 15 : 63

16 - (- 32) + 15

Apply rule

- (- a) = + a

- (- 32) = + 32

= 16 + 32 + 15

16 + 32 = 48

= 48 + 15

48 + 15 = 63

= 63

= 63

(- 5 - 3)^{2}

- [9 - (6 - 14)] + (8 - 12 + 25)

(- 2)^{3} \times 3

5 + 4 - (3 + 1)

96 - 32 (2)