What is (-1)^4-2(-1)^3 ?

The solution to (-1)^4-2(-1)^3 is 3

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(-1)^4-2(-1)^3

(- 1)^{4} - 2 (- 1)^{3}

3

Solution steps

(- 1)^{4} - 2 (- 1)^{3}

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)^{3}

Calculate exponents

(- 1)^{3} : - 1

(- 1)^{3}

Apply exponent rule:

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

n

is odd

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

= - 1

= 1 - 2 (- 1)

Multiply and divide (left to right)

2 (- 1) : - 2

2 (- 1)

Apply rule

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

2 (- 1) = - 2 \cdot 1 = - 2

= - 2

= 1 - (- 2)

Add and subtract (left to right)

1 - (- 2) : 3

1 - (- 2)

Apply rule

- (- a) = + a

- (- 2) = + 2

= 1 + 2

1 + 2 = 3

= 3

= 3

(9 - 6) \div 3 + (15 - 3) \div (7 - 3) + (9 \div 3)

4^{3} - 2^{3} + 1 0^{3}

\frac{15 + 5 \cdot 2}{13 - 88 \div 11}

(\frac{- 3}{5} - \frac{7}{2}) - \frac{2}{13}

7 \cdot 35 \div 100