What is (25x^3y^7)/(15xy) ?

The solution to (25x^3y^7)/(15xy) is (5x^2y^6)/3

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simplify (25x^3y^7)/(15xy)

simplify

\frac{25 x ^{3} y ^{7}}{15 x y}

\frac{5 x ^{2} y ^{6}}{3}

Solution steps

\frac{25 x ^{3} y ^{7}}{15 x y}

Factor the number:

25 = 5 \cdot 5

= \frac{5 \cdot 5 x ^{3} y ^{7}}{15 x y}

Factor the number:

15 = 5 \cdot 3

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

Cancel the common factor:

5

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

Simplify

\frac{x ^{3}}{x} : x^{2}

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

Simplify

\frac{y ^{7}}{y} : y^{6}

= \frac{5 x ^{2} y ^{6}}{3}

5 x^{2} - 18 x - 8 \leq 0

\frac{a + 4}{4 a} \cdot \frac{18 a ^{2}}{a + 4}

1^{2} + 5^{2} = c^{2}

- 2 k \leq - 6

\frac{x - 1}{x ^{2} - 1}