What is 3-[6(-2)^2] ?

The solution to 3-[6(-2)^2] is -21

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3-[6(-2)^2]

3 - [6 (- 2)^{2}]

- 21

Solution steps

3 - [6 (- 2)^{2}]

Follow the PEMDAS order of operations

Calculate within parentheses

[6 (- 2)^{2}] : 24

6 (- 2)^{2}

Calculate exponents

(- 2)^{2} : 4

(- 2)^{2}

Apply exponent rule:

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

n

is even

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

= 4

= 6 \cdot 4

Multiply and divide (left to right)

6 \cdot 4 : 24

6 \cdot 4

6 \cdot 4 = 24

= 24

= 24

= 3 - 24

Add and subtract (left to right)

3 - 24 : - 21

3 - 24

3 - 24 = - 21

= - 21

= - 21

(- 6) \cdot (- 6) \cdot (- 6)

5 - 3 [2^{3} - 5 + 7 (- 3)]

(- 8) (3) + (6 \cdot 5)

- \frac{1}{3} + 2 - 3

3 6^{2} - 4 \times 16 \times 20