What is ((-8)^{12})/((-8)^3) ?

The solution to ((-8)^{12})/((-8)^3) is -134217728

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((-8)^{12})/((-8)^3)

\frac{( - 8 ) ^{12}}{( - 8 ) ^{3}}

- 134217728

Solution steps

\frac{( - 8 ) ^{12}}{( - 8 ) ^{3}}

Solve

(- 8)^{12} : 68719476736

Apply exponent rule:

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

n

is even

(- 8)^{12} = 8^{12} = 68719476736

= 68719476736

Solve

(- 8)^{3} : - 512

Follow the PEMDAS order of operations

Apply exponent rule:

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

n

is odd

(- 8)^{3} = - 8^{3} = - 512

= - 512

= \frac{68719476736}{- 512}

Simplify

\frac{68719476736}{- 512} : - 134217728

Apply the fraction rule:

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

= - \frac{68719476736}{512}

Divide the numbers:

\frac{68719476736}{512} = 134217728

= - 134217728

= - 134217728

3 - (3 + 2 \cdot (5 + 6 \div 3 \cdot 4))

2 4^{2} \div 12

- 12 - (32) - (- 6)

(- 2 \times + 6) (- 3 \times (- 4))

\frac{31 \times 3 + 1}{78 \times 3 + 1}

What is ((-8)^{12})/((-8)^3) ?
The solution to ((-8)^{12})/((-8)^3) is -134217728