What is (-2)^3-(-1)^2+(-3^2)-(-2)^5 ?

The solution to (-2)^3-(-1)^2+(-3^2)-(-2)^5 is 14

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(-2)^3-(-1)^2+(-3^2)-(-2)^5

(- 2)^{3} - (- 1)^{2} + (- 3^{2}) - (- 2)^{5}

14

Solution steps

(- 2)^{3} - (- 1)^{2} + (- 3^{2}) - (- 2)^{5}

Follow the PEMDAS order of operations

Calculate within parentheses

(- 3^{2}) : - 9

- 3^{2}

- 3^{2} = - 9

= - 9

= (- 2)^{3} - (- 1)^{2} - 9 - (- 2)^{5}

Calculate exponents

(- 2)^{3} : - 8

(- 2)^{3}

Apply exponent rule:

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

n

is odd

(- 2)^{3} = - 2^{3} = - 8

= - 8

= - 8 - (- 1)^{2} - 9 - (- 2)^{5}

Calculate exponents

(- 1)^{2} : 1

(- 1)^{2}

Apply exponent rule:

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

n

is even

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

= 1

= - 8 - 1 - 9 - (- 2)^{5}

Calculate exponents

(- 2)^{5} : - 32

(- 2)^{5}

Apply exponent rule:

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

n

is odd

(- 2)^{5} = - 2^{5} = - 32

= - 32

= - 8 - 1 - 9 - (- 32)

Add and subtract (left to right)

- 8 - 1 - 9 - (- 32) : 14

- 8 - 1 - 9 - (- 32)

- 8 - 1 = - 9

= - 9 - 9 - (- 32)

- 9 - 9 = - 18

= - 18 - (- 32)

Apply rule

- (- a) = + a

- (- 32) = + 32

= - 18 + 32

- 18 + 32 = 14

= 14

= 14

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80 \div 2 - (4 - 1)^{3}

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What is (-2)^3-(-1)^2+(-3^2)-(-2)^5 ?
The solution to (-2)^3-(-1)^2+(-3^2)-(-2)^5 is 14