What is (-10)\times 2-(-7)^2 ?

The solution to (-10)\times 2-(-7)^2 is -69

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(-10)\times 2-(-7)^2

(- 10) \cdot 2 - (- 7)^{2}

- 69

Solution steps

(- 10) \cdot 2 - (- 7)^{2}

Follow the PEMDAS order of operations

Calculate exponents

(- 7)^{2} : 49

(- 7)^{2}

Apply exponent rule:

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

n

is even

(- 7)^{2} = 7^{2} = 49

= 49

= (- 10) \cdot 2 - 49

Multiply and divide (left to right)

(- 10) \cdot 2 : - 20

(- 10) \cdot 2

Apply rule

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

(- 10) \cdot 2 = - 10 \cdot 2 = - 20

= - 20

= - 20 - 49

Add and subtract (left to right)

- 20 - 49 : - 69

- 20 - 49

- 20 - 49 = - 69

= - 69

= - 69

5 (2)^{5}

3^{2} \cdot 4^{3}

15 - 7 \times 9 - 6 \div 10

5^{3} \cdot 4

2 - 3 (- 4) + 5 (2 \cdot 3 - 5) - 1