What is 8\div (-4)\times (-6)^2+7 ?

The solution to 8\div (-4)\times (-6)^2+7 is -65

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8\div (-4)\times (-6)^2+7

8 \div (- 4) \times (- 6)^{2} + 7

- 65

Solution steps

8 \div (- 4) \times (- 6)^{2} + 7

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

= 8 \div (- 4) \times 36 + 7

Multiply and divide (left to right)

8 \div (- 4) \times 36 : - 72

8 \div (- 4) \times 36

Apply rule

a \div (- b) = - a \div b

8 \div (- 4) = - 8 \div 4 = - 2

= - 2 \times 36

- 2 \times 36 = - 72

= - 72

= - 72 + 7

Add and subtract (left to right)

- 72 + 7 : - 65

- 72 + 7

- 72 + 7 = - 65

= - 65

= - 65

- 6 + \frac{19}{14} - \frac{33}{14}

4 \times (- 3 - 5)

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

1 \div 4^{2}

\frac{1 + 1}{1 ^{2} + 1}

What is 8\div (-4)\times (-6)^2+7 ?
The solution to 8\div (-4)\times (-6)^2+7 is -65