What is (-108a^7b^6c^8)/(-20b^6c^8) ?

The solution to (-108a^7b^6c^8)/(-20b^6c^8) is (27a^7)/5

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simplify (-108a^7b^6c^8)/(-20b^6c^8)

simplify

\frac{- 108 a ^{7} b ^{6} c ^{8}}{- 20 b ^{6} c ^{8}}

\frac{27 a ^{7}}{5}

Solution steps

\frac{- 108 a ^{7} b ^{6} c ^{8}}{- 20 b ^{6} c ^{8}}

Apply the fraction rule:

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

= \frac{108 a ^{7} b ^{6} c ^{8}}{20 b ^{6} c ^{8}}

Cancel the common factor:

b^{6}

= \frac{108 a ^{7} c ^{8}}{20 c ^{8}}

Cancel the common factor:

c^{8}

= \frac{108 a ^{7}}{20}

Factor the number:

108 = 4 \cdot 27

= \frac{4 \cdot 27 a ^{7}}{20}

Factor the number:

20 = 4 \cdot 5

= \frac{4 \cdot 27 a ^{7}}{4 \cdot 5}

Cancel the common factor:

4

= \frac{27 a ^{7}}{5}

(2 - 49) (- 36)

(3 x - 5) (x - 1)^{2}

(- 7 x^{4})^{2}

\frac{3}{4} + \frac{5}{12}

\frac{72}{60}

What is (-108a^7b^6c^8)/(-20b^6c^8) ?
The solution to (-108a^7b^6c^8)/(-20b^6c^8) is (27a^7)/5