What is (5)8\div [(-5)2\times (-5)4] ?

The solution to (5)8\div [(-5)2\times (-5)4] is 1/5

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(5)8\div [(-5)2\times (-5)4]

(5) 8 \div [(- 5) 2 \times (- 5) 4]

\frac{1}{5}

Solution steps

(5) \cdot 8 \div [(- 5) \cdot 2 \times (- 5) \cdot 4]

Follow the PEMDAS order of operations

Calculate within parentheses

[(- 5) 2 \times (- 5) 4] : 200

(- 5) \cdot 2 \times (- 5) \cdot 4

Multiply and divide (left to right)

Apply rule

(- a) \cdot b = - a \cdot b

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

= - 10 \times (- 5) \cdot 4

Apply rule

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

- 10 \times (- 5) = 10 \times 5 = 50

= 50 \cdot 4

50 \cdot 4 = 200

= 200

= (5) \cdot 8 \div 200

Multiply and divide (left to right)

(5) \cdot 8 \div 200 : \frac{40}{200}

(5) \cdot 8 \div 200

(5) 8 = 40

(5) \cdot 8

Apply rule:

(a) = a

(5) = 5

= 5 \cdot 8

Multiply the numbers:

5 \cdot 8 = 40

= 40

= 40 \div 200

40 \div 200 = \frac{40}{200}

= \frac{40}{200}

= \frac{40}{200}

Cancel the common factor:

40

= \frac{1}{5}

500 - 8 (40)

5 + 10 \div (- 2)

2 (1 + 1)

3 + \frac{1}{5} \div \frac{7}{2}

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

What is (5)8\div [(-5)2\times (-5)4] ?
The solution to (5)8\div [(-5)2\times (-5)4] is 1/5