What is (-12p^7q^5)/(-15pq^2) ?

The solution to (-12p^7q^5)/(-15pq^2) is (4p^6q^3)/5

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simplify (-12p^7q^5)/(-15pq^2)

simplify

\frac{- 12 p ^{7} q ^{5}}{- 15 p q ^{2}}

\frac{4 p ^{6} q ^{3}}{5}

Solution steps

\frac{- 12 p ^{7} q ^{5}}{- 15 p q ^{2}}

Apply the fraction rule:

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

= \frac{12 p ^{7} q ^{5}}{15 p q ^{2}}

Factor the number:

12 = 3 \cdot 4

= \frac{3 \cdot 4 p ^{7} q ^{5}}{15 p q ^{2}}

Factor the number:

15 = 3 \cdot 5

= \frac{3 \cdot 4 p ^{7} q ^{5}}{3 \cdot 5 p q ^{2}}

Cancel the common factor:

3

= \frac{4 p ^{7} q ^{5}}{5 p q ^{2}}

Simplify

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

= \frac{4 p ^{6} q ^{5}}{5 q ^{2}}

Simplify

\frac{q ^{5}}{q ^{2}} : q^{3}

= \frac{4 p ^{6} q ^{3}}{5}

(100)^{2}

cos^{2} (5 x) - sin^{2} (5 x)

\frac{2}{3} - \frac{3}{4} \cdot \frac{2}{3} + \frac{5}{6}

7 - {x - [2 x + 3 + (x + 2)] + 5 x}

7 a^{4} b (2 a^{3} - ab + 5 b^{3})

What is (-12p^7q^5)/(-15pq^2) ?
The solution to (-12p^7q^5)/(-15pq^2) is (4p^6q^3)/5