What is (16x^7y^2)/(24x^6y) ?

The solution to (16x^7y^2)/(24x^6y) is (2xy)/3

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simplify (16x^7y^2)/(24x^6y)

simplify

\frac{16 x ^{7} y ^{2}}{24 x ^{6} y}

\frac{2 x y}{3}

Solution steps

\frac{16 x ^{7} y ^{2}}{24 x ^{6} y}

Factor the number:

16 = 8 \cdot 2

= \frac{8 \cdot 2 x ^{7} y ^{2}}{24 x ^{6} y}

Factor the number:

24 = 8 \cdot 3

= \frac{8 \cdot 2 x ^{7} y ^{2}}{8 \cdot 3 x ^{6} y}

Cancel the common factor:

8

= \frac{2 x ^{7} y ^{2}}{3 x ^{6} y}

Simplify

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

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

Simplify

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

= \frac{2 x y}{3}

(x + 1) (x + 3) (x + 5)

\frac{x ^{2} - x - 12}{x - 4}

\frac{9}{16}

(3 a + 2 b) (3 a - 2 b)

1 - 25 a^{2} b^{2}