What is (42x^9y^2)/(-7x^5y^2) ?

The solution to (42x^9y^2)/(-7x^5y^2) is -6x^4

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simplify (42x^9y^2)/(-7x^5y^2)

simplify

\frac{42 x ^{9} y ^{2}}{- 7 x ^{5} y ^{2}}

- 6 x^{4}

Solution steps

\frac{42 x ^{9} y ^{2}}{- 7 x ^{5} y ^{2}}

Apply the fraction rule:

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

= - \frac{42 x ^{9} y ^{2}}{7 x ^{5} y ^{2}}

Divide the numbers:

\frac{42}{7} = 6

= \frac{6 x ^{9} y ^{2}}{x ^{5} y ^{2}}

Apply exponent rule:

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

\frac{x ^{9}}{x ^{5}} = x^{9 - 5}

= \frac{6 y ^{2} x ^{9 - 5}}{y ^{2}}

Subtract the numbers:

9 - 5 = 4

= \frac{6 x ^{4} y ^{2}}{y ^{2}}

Cancel the common factor:

y^{2}

= - 6 x^{4}

\frac{24}{72}

lo g_{10} (t^{5})

\frac{121}{4}

\frac{4 x ^{2} + 36 x - 28}{4 x}

\frac{1}{a ^{- n}}