What is ((-10)^2\div 5)\div 4 ?

The solution to ((-10)^2\div 5)\div 4 is 5

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((-10)^2\div 5)\div 4

((- 10)^{2} \div 5) \div 4

5

Solution steps

((- 10)^{2} \div 5) \div 4

Follow the PEMDAS order of operations

Calculate within parentheses

((- 10)^{2} \div 5) : 20

(- 10)^{2} \div 5

Calculate exponents

(- 10)^{2} : 100

(- 10)^{2}

Apply exponent rule:

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

n

is even

(- 10)^{2} = 1 0^{2} = 100

= 100

= 100 \div 5

Multiply and divide (left to right)

100 \div 5 : 20

100 \div 5

100 \div 5 = 20

= 20

= 20

= 20 \div 4

Multiply and divide (left to right)

20 \div 4 : 5

20 \div 4

20 \div 4 = 5

= 5

= 5

35 - 2 - 2 - 2 - 5

5 + (3) 5

- 3 (200 \div 10 \times 7) - (16 \div 8 \times 6)

2 (- 2 + 3)^{3}

8^{3} \div 16 + 2