What is 72\div 2\times 4+(-5)^3 ?

The solution to 72\div 2\times 4+(-5)^3 is 19

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72\div 2\times 4+(-5)^3

72 \div 2 \times 4 + (- 5)^{3}

19

Solution steps

72 \div 2 \times 4 + (- 5)^{3}

Follow the PEMDAS order of operations

Calculate exponents

(- 5)^{3} : - 125

(- 5)^{3}

Apply exponent rule:

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

n

is odd

(- 5)^{3} = - 5^{3} = - 125

= - 125

= 72 \div 2 \times 4 - 125

Multiply and divide (left to right)

72 \div 2 \times 4 : 144

72 \div 2 \times 4

72 \div 2 = 36

= 36 \times 4

36 \times 4 = 144

= 144

= 144 - 125

Add and subtract (left to right)

144 - 125 : 19

144 - 125

144 - 125 = 19

= 19

= 19

2 7^{4} - 8 1^{3}

(- 8) \times [(- 900) \div (- 9) - (- 40 + 15)]

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

5 + (36 \div 2) \times 3 - 4

(2 \times 5 - 7)^{3}