What is (-1)^5-2*(+5-1)^2 ?

The solution to (-1)^5-2*(+5-1)^2 is -33

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(-1)^5-2*(+5-1)^2

(- 1)^{5} - 2 \cdot (+ 5 - 1)^{2}

- 33

Solution steps

(- 1)^{5} - 2 (5 - 1)^{2}

Follow the PEMDAS order of operations

Calculate within parentheses

(5 - 1) : 4

5 - 1

5 - 1 = 4

= 4

= (- 1)^{5} - 2 \cdot 4^{2}

Calculate exponents

(- 1)^{5} : - 1

(- 1)^{5}

Apply exponent rule:

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

n

is odd

(- 1)^{5} = - 1^{5} = - 1

= - 1

= - 1 - 2 \cdot 4^{2}

Calculate exponents

4^{2} : 16

4^{2}

4^{2} = 16

= 16

= - 1 - 2 \cdot 16

Multiply and divide (left to right)

2 \cdot 16 : 32

2 \cdot 16

2 \cdot 16 = 32

= 32

= - 1 - 32

Add and subtract (left to right)

- 1 - 32 : - 33

- 1 - 32

- 1 - 32 = - 33

= - 33

= - 33

- {- [- (4 + 7) + (- 7 - 6) + 4] - 8} + 5

6 (4)^{5}

6 + 6^{2}

- 2 (1) + 10

- 7 - 3 + 2