What is (15-3^4+2)^2 ?

The solution to (15-3^4+2)^2 is 4096

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(15-3^4+2)^2

(15 - 3^{4} + 2)^{2}

4096

Solution steps

(15 - 3^{4} + 2)^{2}

Follow the PEMDAS order of operations

Calculate within parentheses

(15 - 3^{4} + 2) : - 64

15 - 3^{4} + 2

Calculate exponents

3^{4} : 81

3^{4}

3^{4} = 81

= 81

= 15 - 81 + 2

Add and subtract (left to right)

15 - 81 + 2 : - 64

15 - 81 + 2

15 - 81 = - 66

= - 66 + 2

- 66 + 2 = - 64

= - 64

= - 64

= (- 64)^{2}

Calculate exponents

(- 64)^{2} : 4096

(- 64)^{2}

Apply exponent rule:

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

n

is even

(- 64)^{2} = 6 4^{2} = 4096

= 4096

= 4096

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

36 (- 1)^{2} + 96 (- 1)

12 - (20 - 18)

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

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