What is (2^2-2-12)^2-12 ?

The solution to (2^2-2-12)^2-12 is 88

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(2^2-2-12)^2-12

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

88

Solution steps

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

Follow the PEMDAS order of operations

Calculate within parentheses

(2^{2} - 2 - 12) : - 10

2^{2} - 2 - 12

Calculate exponents

2^{2} : 4

2^{2}

2^{2} = 4

= 4

= 4 - 2 - 12

Add and subtract (left to right)

4 - 2 - 12 : - 10

4 - 2 - 12

4 - 2 = 2

= 2 - 12

2 - 12 = - 10

= - 10

= - 10

= (- 10)^{2} - 12

Calculate exponents

(- 10)^{2} : 100

(- 10)^{2}

Apply exponent rule:

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

n

is even

(- 10)^{2} = 1 0^{2} = 100

= 100

= 100 - 12

Add and subtract (left to right)

100 - 12 : 88

100 - 12

100 - 12 = 88

= 88

= 88

3 + 2^{3}

1 0^{2} \cdot 7^{2}

- (1/12) + (3/2)

7 \frac{3}{5} + (6 \frac{1}{3} - \frac{2}{9})

(+ 15) + (- 6) + (+ 5) + (- 4)