What is (5a^mb^nc)/(-6a^3b^4c) ?

The solution to (5a^mb^nc)/(-6a^3b^4c) is -(5a^{m-3}b^{n-4})/6

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simplify (5a^mb^nc)/(-6a^3b^4c)

simplify

\frac{5 a ^{m} b ^{n} c}{- 6 a ^{3} b ^{4} c}

- \frac{5 a ^{m - 3} b ^{n - 4}}{6}

Solution steps

\frac{5 a ^{m} b ^{n} c}{- 6 a ^{3} b ^{4} c}

Cancel the common factor:

c

= \frac{5 a ^{m} b ^{n}}{- 6 a ^{3} b ^{4}}

Apply exponent rule:

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

\frac{a ^{m}}{a ^{3}} = a^{m - 3}

= \frac{5 a ^{m - 3} b ^{n}}{- 6 b ^{4}}

Apply exponent rule:

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

\frac{b ^{n}}{b ^{4}} = b^{n - 4}

= \frac{5 a ^{m - 3} b ^{n - 4}}{- 6}

Apply the fraction rule:

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

= - \frac{5 a ^{m - 3} b ^{n - 4}}{6}

x^{2} - 6 x + 9 - 4 y^{2}

6 x - 10

(3 x - 4) - (2 - x)

\frac{6 x ^{3}}{2 x}

(r + 1)^{2} (r - 3) (r - 1) (r - 2 i) (r + 2 i)

What is (5a^mb^nc)/(-6a^3b^4c) ?
The solution to (5a^mb^nc)/(-6a^3b^4c) is -(5a^{m-3}b^{n-4})/6