Question

Simplify (4x^4y^3)^3/3(5x^2y^6)^2

Answer 1

Answer: Hence, our simplified form will be :

$\frac{64}{75}x^8y^{-3}$

Step-by-step explanation:

Since we have given that

$\frac{(4x^4y^3)^3}{3(5x^2y^6)^2}$

We need to simplify the above expression:

$\frac{(4x^4y^3)^3}{3(5x^2y^6)^2}\\\\=\frac{4^3x^{4\times 3}y^{3\times 3}}{3\times 5^2x^{2\times 2}y^{6\times 2}}\\\\=\frac{64x^{12}y^9}{3\times 25x^4y^{12}}\\\\=\frac{64x^{12}y^9}{75x^4y^{12}}\\\\=\frac{64}{75}x^{12-4}y^{9-12}\\\\=\frac{64}{75}x^8y^{-3}$

Hence, our simplified form will be :

$\frac{64}{75}x^8y^{-3}$