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

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

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(-1)^4-2(-1)^2

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

- 1

Solution steps

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

Follow the PEMDAS order of operations

Calculate exponents

(- 1)^{4} : 1

(- 1)^{4}

Apply exponent rule:

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

n

is even

(- 1)^{4} = 1^{4} = 1

= 1

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

Calculate exponents

(- 1)^{2} : 1

(- 1)^{2}

Apply exponent rule:

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

n

is even

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

= 1

= 1 - 2 \cdot 1

Multiply and divide (left to right)

2 \cdot 1 : 2

2 \cdot 1

2 \cdot 1 = 2

= 2

= 1 - 2

Add and subtract (left to right)

1 - 2 : - 1

1 - 2

1 - 2 = - 1

= - 1

= - 1

7 \div 12 \div 3 \div 4

8^{2} - 64

(35 \div 5 \cdot 15) \div 7 - (5 + 2^{3})

(- 4)^{2} + 8 (- 4) + 16

(300 + 80) \div 5