- (g) $\frac{10x^5y^2}{9x^6y^6} \div \frac{3x^3y}{5x^7y^4} = \frac{10x^5y^2}{9x^6y^6} \times \frac{5x^7y^4}{3x^3y} = \frac{50x^{12}y^6}{27x^9y^7} = \frac{50x^3}{27y}$ — the provided answer $\frac{49}{25x^3y}$ is incorrect.
- (h) $\frac{7y^3x^2}{5y^5x^4} \div \frac{5x^6y^2}{7x^5y^3} = \frac{7y^3x^2}{5y^5x^4} \times \frac{7x^5y^3}{5x^6y^2} = \frac{49x^7y^6}{25x^{10}y^7} = \frac{49}{25x^3y}$ — the provided answer $\frac{x^{16}}{y^{16}}$ is incorrect.
- (i) $\frac{(x^5y)^2 \times (x^3y^4)^2}{(x^3y^3)^3} = \frac{x^{10}y^2 \times x^6y^8}{x^9y^9} = \frac{x^{16}y^{10}}{x^9y^9} = x^7y$ — the provided answer $\frac{50x^3}{27y}$ is incorrect.
- (j) $\frac{(2x^4y^2)^3}{(y^3x^2)^3} \times \frac{(x^4y^4)^2}{3(x^2y)^2} = \frac{8x^{12}y^6}{y^9x^6} \times \frac{x^8y^8}{3x^4y^2} = \frac{8x^{12}y^6 \cdot x^8y^8}{y^9x^6 \cdot 3x^4y^2} = \frac{8x^{20}y^{14}}{3x^{10}y^{11}} = \frac{8x^{10}y^3}{3}$ — the provided answer $\frac{3125x^4y^2}{16}$ is incorrect.
- (k) $\left(\frac{x^2}{y^4}\right)^3 \times \left(\frac{x^5}{y^2}\right)^2 = \frac{x^6}{y^{12}} \times \frac{x^{10}}{y^4} = \frac{x^{16}}{y^{16}}$ — the provided answer $\frac{8x^{10}y^3}{3}$ is incorrect.
- (l) $\frac{(5x^3y^2)^3}{4x^7y^6} \div \left(\frac{2xy^3}{5x^2y^4}\right)^2 = \frac{125x^9y^6}{4x^7y^6} \div \frac{4x^2y^6}{25x^4y^8} = \frac{125x^2}{4} \times \frac{25x^4y^8}{4x^2y^6} = \frac{3125x^6y^8}{16x^2y^6} = \frac{3125x^4y^2}{16}$ — the provided answer $x^7y$ is incorrect.
Parent Tip: Review the logic above to help your child master the concept of exponents division worksheet.
