What is ((-2)^{12})/((-2)^9) ?

The solution to ((-2)^{12})/((-2)^9) is -8

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((-2)^{12})/((-2)^9)

\frac{( - 2 ) ^{12}}{( - 2 ) ^{9}}

- 8

Solution steps

\frac{( - 2 ) ^{12}}{( - 2 ) ^{9}}

Solve

(- 2)^{12} : 4096

Apply exponent rule:

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

n

is even

(- 2)^{12} = 2^{12} = 4096

= 4096

Solve

(- 2)^{9} : - 512

Follow the PEMDAS order of operations

Apply exponent rule:

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

n

is odd

(- 2)^{9} = - 2^{9} = - 512

= - 512

= \frac{4096}{- 512}

Simplify

\frac{4096}{- 512} : - 8

Apply the fraction rule:

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

= - \frac{4096}{512}

Divide the numbers:

\frac{4096}{512} = 8

= - 8

= - 8

(8 - 9 + 10 - 12) - (- 15 + 10 - 8 + 4)

5/4 + 2/3 + 7/4 + 5/3 + 9/4 + 7/3 + 11/4 + 9/3

3 - 4 + 5 - 6 + 7 - 8 - 10

1 (1)^{2}

- 2 \times (3 - (5 - 2 \times (8 - 16)))