What is +(-6(2)+(2(2)3(2)^2+1)^2) ?

The solution to +(-6(2)+(2(2)3(2)^2+1)^2) is 2389

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+(-6(2)+(2(2)3(2)^2+1)^2)

+ (- 6 (2) + (2 (2) 3 (2)^{2} + 1)^{2})

2389

Solution steps

- 6 (2) + (2 (2) \cdot 3 (2)^{2} + 1)^{2}

Follow the PEMDAS order of operations

Calculate within parentheses

(2 (2) 3 (2)^{2} + 1) : 49

2 (2) \cdot 3 (2)^{2} + 1

Calculate exponents

(2)^{2} : 4

(2)^{2}

(2)^{2} = 4

= 4

= 2 (2) \cdot 3 \cdot 4 + 1

Multiply and divide (left to right)

2 (2) \cdot 3 \cdot 4 : 48

2 (2) \cdot 3 \cdot 4

2 (2) = 4

2 (2)

Apply rule:

(a) = a

(2) = 2

= 2 \cdot 2

Multiply the numbers:

2 \cdot 2 = 4

= 4

= 4 \cdot 3 \cdot 4

4 \cdot 3 = 12

= 12 \cdot 4

12 \cdot 4 = 48

= 48

= 48 + 1

Add and subtract (left to right)

48 + 1 : 49

48 + 1

48 + 1 = 49

= 49

= 49

= - 6 (2) + 4 9^{2}

Calculate exponents

4 9^{2} : 2401

4 9^{2}

4 9^{2} = 2401

= 2401

= - 6 (2) + 2401

Multiply and divide (left to right)

- 6 (2) : - 12

- 6 (2)

Apply rule:

(a) = a

(2) = 2

= - 6 \cdot 2

Multiply the numbers:

- 6 \cdot 2 = - 12

= - 12

= - 12 + 2401

Add and subtract (left to right)

- 12 + 2401 : 2389

- 12 + 2401

- 12 + 2401 = 2389

= 2389

= 2389

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

- 2 + 4 - 6

- 2^{2} - 3 \times 4

(1)^{2} + 2 (1) + 3

4 \times 8 - 2 \times 11 + 27 \times 3 \times 3

What is +(-6(2)+(2(2)3(2)^2+1)^2) ?
The solution to +(-6(2)+(2(2)3(2)^2+1)^2) is 2389