What is ((2*4)^2-2^4)/(-12) ?

The solution to ((2*4)^2-2^4)/(-12) is -4

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((2*4)^2-2^4)/(-12)

\frac{( 2 \cdot 4 ) ^{2} - 2 ^{4}}{- 12}

- 4

Solution steps

\frac{( 2 \cdot 4 ) ^{2} - 2 ^{4}}{- 12}

Solve

(2 \cdot 4)^{2} - 2^{4} : 48

Follow the PEMDAS order of operations

Calculate within parentheses

(2 \cdot 4) : 8

2 \cdot 4

2 \cdot 4 = 8

= 8

= 8^{2} - 2^{4}

Calculate exponents

8^{2} : 64

8^{2}

8^{2} = 64

= 64

= 64 - 2^{4}

Calculate exponents

2^{4} : 16

2^{4}

2^{4} = 16

= 16

= 64 - 16

Add and subtract (left to right)

64 - 16 : 48

64 - 16

64 - 16 = 48

= 48

= 48

= \frac{48}{- 12}

Simplify

\frac{48}{- 12} : - 4

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{48}{12}

Divide the numbers:

\frac{48}{12} = 4

= - 4

= - 4

4 (8)^{2}

\frac{2}{5} (10) + 3 (6) - 6

3^{2} - 1^{2}

- 2 (- 1) - 3

- 2 (- 1) + 3