Question

Need help with this been trying to solve it

x/3ytimes3xy/5dividedby4y^2/5x^2

Fractions,

PLEASE HELP

Answer 1

`\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\ a^{-{ n}} \implies \cfrac{1}{a^( n)} \qquad \qquad \cfrac{1}{a^( n)}\implies a^{-{ n}} \qquad \qquad a^{{{ n}}}\implies \cfrac{1}{a^{-{{ n}}}}\\\\ -------------------------------`


`\bf \cfrac{(x)/(3y)\cdot (3xy)/(5)}{(4y^2)/(5x^2)}\implies \cfrac{\quad (3x^2y)/(15y)\quad }{(4y^2)/(5x^2)}\implies \cfrac{3x^2y}{15y}\cdot \cfrac{5x^2}{4y^2}\implies \cfrac{\underline{15} x^4y}{\underline{15}\cdot 4y^3}\implies \cfrac{x^4y^1}{4y^3} \\\\\\ \cfrac{x^4}{4y^3y^(-1)}\implies \cfrac{x^4}{4y^(3-1)}\implies \cfrac{x^4}{4y^2}`

Answer 2

The answer is x^2y^2/5x^2 / 20.