(24x²y³/36x⁴y)‐2 Note : itu pangkat min 2

(24x²y³/36x⁴y)‐2
Note : itu pangkat min 2

Jawab:

$left ( frac{24x^{2}y^{3}}{36x^{4}y} right )^{-2}=left ( frac{2^{3}times 3times x^{2}y^{3}}{2^{2}times 3^{2}times x^{4}y} right )^{-2}$

$=left ( frac{2^{3-2}times y^{3-1}}{3^{2-1}times x^{4-2}} right )^{-2}$

$=left ( frac{2times y^{2}}{3times x^{2}} right )^{-2}$

$=frac{2^{-2}times y^{-4}}{3^{-2}times x^{-4}}$

$=frac{3^{2}times x^{4}}{2^{2}times y^{4}}$

$=frac{9x^{4}}{4 y^{4}}$