What is 5+6*(-3)+(-4)^2 ?

The solution to 5+6*(-3)+(-4)^2 is 3

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5+6*(-3)+(-4)^2

5 + 6 \cdot (- 3) + (- 4)^{2}

3

Solution steps

5 + 6 (- 3) + (- 4)^{2}

Follow the PEMDAS order of operations

Calculate exponents

(- 4)^{2} : 16

(- 4)^{2}

Apply exponent rule:

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

n

is even

(- 4)^{2} = 4^{2} = 16

= 16

= 5 + 6 (- 3) + 16

Multiply and divide (left to right)

6 (- 3) : - 18

6 (- 3)

Apply rule

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

6 (- 3) = - 6 \cdot 3 = - 18

= - 18

= 5 - 18 + 16

Add and subtract (left to right)

5 - 18 + 16 : 3

5 - 18 + 16

5 - 18 = - 13

= - 13 + 16

- 13 + 16 = 3

= 3

= 3

3 \times \frac{3}{4} + 4 \times \frac{3}{7}

- 7 (- 5 - 8)

31 + 19 - 8

4 (5) - 2

4 (5) - 5