Question

Сократите дроби. 2) 12cb^2/9bc^3 3) 12ay^3/-8a^2y 4)-6p^3q/-12q^3 5) -4ax^2/12xy 6)9axy^2/6ay^3 7)48a^2c^2/38ac 8) 63x^3y^5/84x^6y^4

Answer 1

2) 12cb²/9bc³ = 4b/3c²
     $\frac{12c b^{2} }{9b c^{3} } = \frac{4 b^{2-1} }{3 c^{3-1} } = \frac{4b}{3 c^{2} }$

3) 12ay³/-8a²y = - 3y²/2a
    $\frac{12a y^{3} }{-8 a^{2} y} =- \frac{3 y^{3-1} }{2a^{2-1} } =- \frac{3 y^{2} }{2a}$

4) -6p³q/-12q³ = p³/2q²
   $\frac{-6 p^{3} q}{-12 q^{3} } = \frac{ p^{3} }{2 q^{3-1} } = \frac{ p^{3} }{2 q^{2} }$

5) -4ax²/12xy = - ax/3y
    $\frac{-4a x^{2} }{12xy} =- \frac{a x^{2-1} }{ 3y} =- \frac{ax}{3y}$

6) 9axy²/6ay³ = 3x/2y
  $\frac{9ax y^{2} }{6a y^{3} } = \frac{3x}{2 y^{3-2} } = \frac{3x}{2y}$

7) 48a²c²/38ac = 24ac/19
   $\frac{48 a^{2} c^{2} }{38ac} = \frac{24*2*a*a*c*c}{19*2*a*c} = \frac{24ac}{19}$

8) 63x³y⁵/84x⁶y⁴ = 3y/4x³
   $\frac{63 x^{3} y^{5} }{84 x^{6} y^{4} } = \frac{21*3* y^{5-4} }{21*4* x^{6-3} } = \frac{3y}{4 x^{3} }$