What is (28a^6b^4c)/(-7a^5b^4c) ?

The solution to (28a^6b^4c)/(-7a^5b^4c) is -4a

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simplify (28a^6b^4c)/(-7a^5b^4c)

simplify

\frac{28 a ^{6} b ^{4} c}{- 7 a ^{5} b ^{4} c}

- 4 a

Solution steps

\frac{28 a ^{6} b ^{4} c}{- 7 a ^{5} b ^{4} c}

Apply the fraction rule:

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

= - \frac{28 a ^{6} b ^{4} c}{7 a ^{5} b ^{4} c}

Divide the numbers:

\frac{28}{7} = 4

= \frac{4 a ^{6} b ^{4} c}{a ^{5} b ^{4} c}

Apply exponent rule:

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

\frac{a ^{6}}{a ^{5}} = a^{6 - 5}

= \frac{4 b ^{4} c a ^{6 - 5}}{b ^{4} c}

Subtract the numbers:

6 - 5 = 1

= \frac{4 a b ^{4} c}{b ^{4} c}

Cancel the common factor:

b^{4}

= \frac{4 a c}{c}

Cancel the common factor:

c

= - 4 a

\frac{2500}{10 5}

\frac{1}{2} 1

1 + \frac{1}{n}

\frac{( 2 x ^{3} + 7 x ^{2} - 6 x - 8 )}{( x + 4 )}

lo g_{10} (\frac{4}{3})

What is (28a^6b^4c)/(-7a^5b^4c) ?
The solution to (28a^6b^4c)/(-7a^5b^4c) is -4a