What is (45x^3y^7)/(18x^8y^2) ?

The solution to (45x^3y^7)/(18x^8y^2) is (5y^5)/(2x^5)

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simplify (45x^3y^7)/(18x^8y^2)

simplify

\frac{45 x ^{3} y ^{7}}{18 x ^{8} y ^{2}}

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

Solution steps

\frac{45 x ^{3} y ^{7}}{18 x ^{8} y ^{2}}

Factor the number:

45 = 9 \cdot 5

= \frac{9 \cdot 5 x ^{3} y ^{7}}{18 x ^{8} y ^{2}}

Factor the number:

18 = 9 \cdot 2

= \frac{9 \cdot 5 x ^{3} y ^{7}}{9 \cdot 2 x ^{8} y ^{2}}

Cancel the common factor:

9

= \frac{5 x ^{3} y ^{7}}{2 x ^{8} y ^{2}}

Simplify

\frac{y ^{7}}{y ^{2}} : y^{5}

= \frac{5 x ^{3} y ^{5}}{2 x ^{8}}

Simplify

\frac{x ^{3}}{x ^{8}} : \frac{1}{x ^{5}}

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

\frac{3}{2} x + 2

3 (7 x + 1)

8 x - 8

8 \times 12

12 k^{3} + 6 k^{2} + 2 k + 1

What is (45x^3y^7)/(18x^8y^2) ?
The solution to (45x^3y^7)/(18x^8y^2) is (5y^5)/(2x^5)