What is (-6)^2\div (-3)^2-7*(-2) ?

The solution to (-6)^2\div (-3)^2-7*(-2) is 18

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(-6)^2\div (-3)^2-7*(-2)

(- 6)^{2} \div (- 3)^{2} - 7 \cdot (- 2)

18

Solution steps

(- 6)^{2} \div (- 3)^{2} - 7 (- 2)

Follow the PEMDAS order of operations

Calculate exponents

(- 6)^{2} : 36

(- 6)^{2}

Apply exponent rule:

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

n

is even

(- 6)^{2} = 6^{2} = 36

= 36

= 36 \div (- 3)^{2} - 7 (- 2)

Calculate exponents

(- 3)^{2} : 9

(- 3)^{2}

Apply exponent rule:

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

n

is even

(- 3)^{2} = 3^{2} = 9

= 9

= 36 \div 9 - 7 (- 2)

Multiply and divide (left to right)

36 \div 9 : 4

36 \div 9

36 \div 9 = 4

= 4

= 4 - 7 (- 2)

Multiply and divide (left to right)

7 (- 2) : - 14

7 (- 2)

Apply rule

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

7 (- 2) = - 7 \cdot 2 = - 14

= - 14

= 4 - (- 14)

Add and subtract (left to right)

4 - (- 14) : 18

4 - (- 14)

Apply rule

- (- a) = + a

- (- 14) = + 14

= 4 + 14

4 + 14 = 18

= 18

= 18

(0 + 3)^{2}

4 (4)^{3} - 36 (4)

7^{3} \cdot 2^{3}

{5 - 2 [4 - (6 \div 2)]^{2}}^{2}

3 (- 1)^{2} - 12 (- 1)

What is (-6)^2\div (-3)^2-7*(-2) ?
The solution to (-6)^2\div (-3)^2-7*(-2) is 18