What is (-1)^3-(-1)^5\times (-1)^4+(-1)^7 ?

The solution to (-1)^3-(-1)^5\times (-1)^4+(-1)^7 is -1

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(-1)^3-(-1)^5\times (-1)^4+(-1)^7

(- 1)^{3} - (- 1)^{5} \cdot (- 1)^{4} + (- 1)^{7}

- 1

Solution steps

(- 1)^{3} - (- 1)^{5} (- 1)^{4} + (- 1)^{7}

Follow the PEMDAS order of operations

Calculate exponents

(- 1)^{3} : - 1

(- 1)^{3}

Apply exponent rule:

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

n

is odd

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

= - 1

= - 1 - (- 1)^{5} (- 1)^{4} + (- 1)^{7}

Calculate exponents

(- 1)^{5} : - 1

(- 1)^{5}

Apply exponent rule:

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

n

is odd

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

= - 1

= - 1 - (- 1) (- 1)^{4} + (- 1)^{7}

Calculate exponents

(- 1)^{4} : 1

(- 1)^{4}

Apply exponent rule:

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

n

is even

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

= 1

= - 1 - (- 1) \cdot 1 + (- 1)^{7}

Calculate exponents

(- 1)^{7} : - 1

(- 1)^{7}

Apply exponent rule:

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

n

is odd

(- 1)^{7} = - 1^{7} = - 1

= - 1

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

Multiply and divide (left to right)

(- 1) \cdot 1 : - 1

(- 1) \cdot 1

Apply rule

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

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

= - 1

= - 1 - (- 1) - 1

Add and subtract (left to right)

- 1 - (- 1) - 1 : - 1

- 1 - (- 1) - 1

Apply rule

- (- a) = + a

- (- 1) = + 1

= - 1 + 1 - 1

- 1 + 1 = 0

= 0 - 1

0 - 1 = - 1

= - 1

= - 1

3^{2} + 7 (3) - 9

4 (2 \times + 3) + 4 (3 \times + 2)

25 - 10 - 40

- 5 (1) + 5

7 0^{0} + 0^{70} - 1

What is (-1)^3-(-1)^5\times (-1)^4+(-1)^7 ?
The solution to (-1)^3-(-1)^5\times (-1)^4+(-1)^7 is -1