What is (6a^5b^7)/(-2a^3b^7) ?

The solution to (6a^5b^7)/(-2a^3b^7) is -3a^2

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simplify (6a^5b^7)/(-2a^3b^7)

simplify

\frac{6 a ^{5} b ^{7}}{- 2 a ^{3} b ^{7}}

- 3 a^{2}

Solution steps

\frac{6 a ^{5} b ^{7}}{- 2 a ^{3} b ^{7}}

Apply the fraction rule:

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

= - \frac{6 a ^{5} b ^{7}}{2 a ^{3} b ^{7}}

Divide the numbers:

\frac{6}{2} = 3

= \frac{3 a ^{5} b ^{7}}{a ^{3} b ^{7}}

Apply exponent rule:

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

\frac{a ^{5}}{a ^{3}} = a^{5 - 3}

= \frac{3 b ^{7} a ^{5 - 3}}{b ^{7}}

Subtract the numbers:

5 - 3 = 2

= \frac{3 a ^{2} b ^{7}}{b ^{7}}

Cancel the common factor:

b^{7}

= - 3 a^{2}

5 x = 8 + 3 x

1 = \frac{1}{4} (2 x + 8)

3 x^{2} - 2 x - 3 = 0

x + 43 = 107

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