What is ((-8)^{12})/((-8)^9) ?

The solution to ((-8)^{12})/((-8)^9) is -512

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((-8)^{12})/((-8)^9)

\frac{( - 8 ) ^{12}}{( - 8 ) ^{9}}

- 512

Solution steps

\frac{( - 8 ) ^{12}}{( - 8 ) ^{9}}

Solve

(- 8)^{12} : 68719476736

Apply exponent rule:

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

n

is even

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

= 68719476736

Solve

(- 8)^{9} : - 134217728

Follow the PEMDAS order of operations

Apply exponent rule:

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

n

is odd

(- 8)^{9} = - 8^{9} = - 134217728

= - 134217728

= \frac{68719476736}{- 134217728}

Simplify

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

Apply the fraction rule:

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

= - \frac{68719476736}{134217728}

Divide the numbers:

\frac{68719476736}{134217728} = 512

= - 512

= - 512

2 \cdot (- 1) - 3

4 0^{2} + 4 2^{2}

9 (4)^{2}

(10 \times 6) + (8 \div 2) - 6

5 + 3 \times 4 - 7 + 15 \div 5