What is (-3)^3\div 9-(5\times 2) ?

The solution to (-3)^3\div 9-(5\times 2) is -13

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(-3)^3\div 9-(5\times 2)

(- 3)^{3} \div 9 - (5 \times 2)

- 13

Solution steps

(- 3)^{3} \div 9 - (5 \times 2)

Follow the PEMDAS order of operations

Calculate within parentheses

(5 \times 2) : 10

5 \times 2

5 \times 2 = 10

= 10

= (- 3)^{3} \div 9 - 10

Calculate exponents

(- 3)^{3} : - 27

(- 3)^{3}

Apply exponent rule:

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

n

is odd

(- 3)^{3} = - 3^{3} = - 27

= - 27

= - 27 \div 9 - 10

Multiply and divide (left to right)

- 27 \div 9 : - 3

- 27 \div 9

- 27 \div 9 = - 3

= - 3

= - 3 - 10

Add and subtract (left to right)

- 3 - 10 : - 13

- 3 - 10

- 3 - 10 = - 13

= - 13

= - 13

(- 4 + 4)^{2}

2^{3} \div 3

2 - 3 + 5 - 4

\frac{1}{4} \cdot 2^{4}

10 \times [3 - 2 \times (5 - 4) - 2 \times (4 - 2)]

What is (-3)^3\div 9-(5\times 2) ?
The solution to (-3)^3\div 9-(5\times 2) is -13