What is ((-6)^8)/((-6)^5) ?

The solution to ((-6)^8)/((-6)^5) is -216

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((-6)^8)/((-6)^5)

\frac{( - 6 ) ^{8}}{( - 6 ) ^{5}}

- 216

Solution steps

\frac{( - 6 ) ^{8}}{( - 6 ) ^{5}}

Solve

(- 6)^{8} : 1679616

Apply exponent rule:

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

n

is even

(- 6)^{8} = 6^{8} = 1679616

= 1679616

Solve

(- 6)^{5} : - 7776

Follow the PEMDAS order of operations

Apply exponent rule:

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

n

is odd

(- 6)^{5} = - 6^{5} = - 7776

= - 7776

= \frac{1679616}{- 7776}

Simplify

\frac{1679616}{- 7776} : - 216

Apply the fraction rule:

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

= - \frac{1679616}{7776}

Divide the numbers:

\frac{1679616}{7776} = 216

= - 216

= - 216

2^{2} \times 3^{3}

15 - 1 (12/4 + 1)

3 + \frac{3}{5} - \frac{1}{8}

0^{2} + 1

8 \times 5 + 4 - 3 \times 2 + 6 \div 3