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

The solution to (-5)^2-2(5)^2\div 10 is 20

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

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

20

Solution steps

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

Follow the PEMDAS order of operations

Calculate exponents

(- 5)^{2} : 25

(- 5)^{2}

Apply exponent rule:

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

n

is even

(- 5)^{2} = 5^{2} = 25

= 25

= 25 - 2 (5)^{2} \div 10

Calculate exponents

(5)^{2} : 25

(5)^{2}

(5)^{2} = 25

= 25

= 25 - 2 \cdot 25 \div 10

Multiply and divide (left to right)

2 \cdot 25 \div 10 : 5

2 \cdot 25 \div 10

2 \cdot 25 = 50

= 50 \div 10

50 \div 10 = 5

= 5

= 25 - 5

Add and subtract (left to right)

25 - 5 : 20

25 - 5

25 - 5 = 20

= 20

= 20

(\frac{7}{3} + \frac{1}{2} \div 3) + 6

(- 1)^{4} - 2 (- 1)^{2}

7 \div 12 \div 3 \div 4

8^{2} - 64

(35 \div 5 \cdot 15) \div 7 - (5 + 2^{3})