What is (-1)^4-3(-1)^3-4 ?

The solution to (-1)^4-3(-1)^3-4 is 0

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(-1)^4-3(-1)^3-4

(- 1)^{4} - 3 (- 1)^{3} - 4

0

Solution steps

(- 1)^{4} - 3 (- 1)^{3} - 4

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 - 3 (- 1)^{3} - 4

Calculate exponents

(- 1)^{3} : - 1

(- 1)^{3}

Apply exponent rule:

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

n

is odd

(- 1)^{3} = - 1^{3} = - 1

= - 1

= 1 - 3 (- 1) - 4

Multiply and divide (left to right)

3 (- 1) : - 3

3 (- 1)

Apply rule

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

3 (- 1) = - 3 \cdot 1 = - 3

= - 3

= 1 - (- 3) - 4

Add and subtract (left to right)

1 - (- 3) - 4 : 0

1 - (- 3) - 4

Apply rule

- (- a) = + a

- (- 3) = + 3

= 1 + 3 - 4

1 + 3 = 4

= 4 - 4

4 - 4 = 0

= 0

= 0

4 - 2 (3 + 7)

\frac{3 ( 1 ) ^{2}}{2}

2 (3) - 6

2 (3) + 5

2 + 7 \cdot (- 3)^{2}