What is (-10)+(-3)^2-5^3-(-2)^3 ?

The solution to (-10)+(-3)^2-5^3-(-2)^3 is -118

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(-10)+(-3)^2-5^3-(-2)^3

(- 10) + (- 3)^{2} - 5^{3} - (- 2)^{3}

- 118

Solution steps

(- 10) + (- 3)^{2} - 5^{3} - (- 2)^{3}

Follow the PEMDAS order of operations

Calculate exponents

(- 3)^{2} : 9

(- 3)^{2}

Apply exponent rule:

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

n

is even

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

= 9

= (- 10) + 9 - 5^{3} - (- 2)^{3}

Calculate exponents

5^{3} : 125

5^{3}

5^{3} = 125

= 125

= (- 10) + 9 - 125 - (- 2)^{3}

Calculate exponents

(- 2)^{3} : - 8

(- 2)^{3}

Apply exponent rule:

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

n

is odd

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

= - 8

= (- 10) + 9 - 125 - (- 8)

Add and subtract (left to right)

(- 10) + 9 - 125 - (- 8) : - 118

(- 10) + 9 - 125 - (- 8)

(- 10) + 9 = - 1

= - 1 - 125 - (- 8)

- 1 - 125 = - 126

= - 126 - (- 8)

Apply rule

- (- a) = + a

- (- 8) = + 8

= - 126 + 8

- 126 + 8 = - 118

= - 118

= - 118

15 - 15 \div 3

(+ 36) + (- 42) + (+ 18) + (- 65) + (+ 17)

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

4 \times 1^{2}

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

What is (-10)+(-3)^2-5^3-(-2)^3 ?
The solution to (-10)+(-3)^2-5^3-(-2)^3 is -118