What is (10\div (-5)-(-2))\times (-3)^3 ?

The solution to (10\div (-5)-(-2))\times (-3)^3 is 0

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

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

0

Solution steps

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

Follow the PEMDAS order of operations

Calculate within parentheses

(10 \div (- 5) - (- 2)) : 0

10 \div (- 5) - (- 2)

Multiply and divide (left to right)

10 \div (- 5) : - 2

10 \div (- 5)

Apply rule

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

10 \div (- 5) = - 10 \div 5 = - 2

= - 2

= - 2 - (- 2)

Add and subtract (left to right)

- 2 - (- 2) : 0

- 2 - (- 2)

Apply rule

- (- a) = + a

- (- 2) = + 2

= - 2 + 2

- 2 + 2 = 0

= 0

= 0

= 0 \times (- 3)^{3}

Calculate exponents

(- 3)^{3} : - 27

(- 3)^{3}

Apply exponent rule:

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

n

is odd

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

= - 27

= 0 \times (- 27)

Multiply and divide (left to right)

0 \times (- 27) : 0

0 \times (- 27)

Apply rule

a \times (- b) = - a \times b

0 \times (- 27) = - 0 \times 27 = 0

= 0

= 0

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

2^{203} + 2^{204}

2^{4} \times 5^{2}

2 (- 6) + 4

- 5 \cdot 7 + 9 \cdot \frac{5}{5}

What is (10\div (-5)-(-2))\times (-3)^3 ?
The solution to (10\div (-5)-(-2))\times (-3)^3 is 0