what expression is equivalent to 25 X 9y3

Answer:DStep-by-step explanation:Use exponents property:[tex]\dfrac{x^a}{x^b}=x^{a-b}[/tex]1. Note that[tex]\dfrac{x^9}{x^6}=x^{9-6}=x^3[/tex]and [tex]\dfrac{y^3}{y^{11}}=y^{3-11}=y^{-8}=\dfrac{1}{y^8}[/tex]2. Now[tex]\sqrt{25}=5\\ \\\sqrt{64}=8\\ \\\sqrt{x^3}=x\sqrt{x}\\ \\\sqrt{\dfrac{1}{y^8}}=\dfrac{1}{y^4}[/tex]So[tex]\sqrt{\dfrac{25x^9y^3}{64x^6y^{11}}}=\dfrac{\sqrt{25}\sqrt{x^3}}{\sqrt{64}\sqrt{y^8}}=\dfrac{5x\sqrt{x}}{8y^4}[/tex]because [tex]x>0,\ y>0[/tex]