The solution to (12-2^4)^3 is -64

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(12-2^4)^3

Solution

(12 - 2^{4})^{3}

- 64

Solution steps

(12 - 2^{4})^{3}

Follow the PEMDAS order of operations

Calculate within parentheses

(12 - 2^{4}) : - 4

12 - 2^{4}

Calculate exponents

2^{4} : 16

2^{4}

2^{4} = 16

= 16

= 12 - 16

Add and subtract (left to right)

12 - 16 : - 4

12 - 16

12 - 16 = - 4

= - 4

= - 4

= (- 4)^{3}

Calculate exponents

(- 4)^{3} : - 64

(- 4)^{3}

Apply exponent rule:

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

n

is odd

(- 4)^{3} = - 4^{3} = - 64

= - 64

= - 64

16 (1)^{2}

7 5^{2} + 105 + 3

5 + 3 \times 2 \div 6 - 4

1 0^{8} + 1 0^{7}

6 (- 1) + 4