What is (45x^4y)/(9x^6y^3) ?

The solution to (45x^4y)/(9x^6y^3) is 5/(x^2y^2)

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simplify (45x^4y)/(9x^6y^3)

simplify

\frac{45 x ^{4} y}{9 x ^{6} y ^{3}}

\frac{5}{x ^{2} y ^{2}}

Solution steps

\frac{45 x ^{4} y}{9 x ^{6} y ^{3}}

Factor the number:

45 = 9 \cdot 5

= \frac{9 \cdot 5 x ^{4} y}{9 x ^{6} y ^{3}}

Cancel the common factor:

9

= \frac{5 x ^{4} y}{x ^{6} y ^{3}}

Simplify

\frac{x ^{4}}{x ^{6}} : \frac{1}{x ^{2}}

= \frac{5 y}{x ^{2} y ^{3}}

Simplify

\frac{y}{y ^{3}} : \frac{1}{y ^{2}}

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

7 x^{2} + 14 x - 5 = 0

24 = 6 x

5 x^{3} - 16 x^{2} + 12 x

(\frac{7}{12})^{2}

e^{- l n (1 + x^{2})}