What is (-4)^3+30-100*20+75\div (-5) ?

The solution to (-4)^3+30-100*20+75\div (-5) is -2049

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(-4)^3+30-100*20+75\div (-5)

(- 4)^{3} + 30 - 100 \cdot 20 + 75 \div (- 5)

- 2049

Solution steps

(- 4)^{3} + 30 - 100 \cdot 20 + 75 \div (- 5)

Follow the PEMDAS order of operations

Calculate exponents

(- 4)^{3} : - 64

(- 4)^{3}

Apply exponent rule:

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

n

is odd

(- 4)^{3} = - 4^{3} = - 64

= - 64

= - 64 + 30 - 100 \cdot 20 + 75 \div (- 5)

Multiply and divide (left to right)

100 \cdot 20 : 2000

100 \cdot 20

100 \cdot 20 = 2000

= 2000

= - 64 + 30 - 2000 + 75 \div (- 5)

Multiply and divide (left to right)

75 \div (- 5) : - 15

75 \div (- 5)

Apply rule

a \div (- b) = - a \div b

75 \div (- 5) = - 75 \div 5 = - 15

= - 15

= - 64 + 30 - 2000 - 15

Add and subtract (left to right)

- 64 + 30 - 2000 - 15 : - 2049

- 64 + 30 - 2000 - 15

- 64 + 30 = - 34

= - 34 - 2000 - 15

- 34 - 2000 = - 2034

= - 2034 - 15

- 2034 - 15 = - 2049

= - 2049

= - 2049

3 \cdot 1 + 0

2^{2} - (2 \times 2) + 8

3 \cdot 1 - 4

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

1 + 4 - 2 - 6 + 9 - 2 \times (- 4)

What is (-4)^3+30-100*20+75\div (-5) ?
The solution to (-4)^3+30-100*20+75\div (-5) is -2049