4) \(3x^2y^3\cdot A=\dfrac{4}{5}x^4y^5\)
\(\Rightarrow A=\dfrac{4}{5}x^4y^5:3x^2y^3\)
\(\Rightarrow A=\dfrac{4}{15}x^2y^2\)
5) \(-xy^3\cdot A=\dfrac{7}{5}x^2y^6\)
\(\Rightarrow A=\dfrac{7}{5}x^2y^6:\left(-xy^3\right)\)
\(\Rightarrow A=-\dfrac{7}{5}xy^3\)
6) \(\dfrac{3}{4}x^2y^2\cdot A=\dfrac{-5}{6}x^7y^3\)
\(\Rightarrow A=-\dfrac{5}{6}x^7y^3:\dfrac{3}{4}x^2y^2\)
\(\Rightarrow A=-\dfrac{10}{9}x^5y\)
7) \(A\cdot\dfrac{4}{3}x^2y=\dfrac{6}{5}x^3y^5\)
\(\Rightarrow A=\dfrac{6}{5}x^3y^5:\dfrac{4}{3}x^2y\)
\(\Rightarrow A=\dfrac{9}{10}xy^4\)
8) \(-A\cdot\dfrac{1}{2}xy^3=\dfrac{-7}{8}x^3y^6\)
\(\Rightarrow A\cdot\dfrac{-1}{2}xy^3=-\dfrac{7}{8}x^3y^6\)
\(\Rightarrow A=-\dfrac{7}{8}x^3y^6:\left(-\dfrac{1}{2}xy^3\right)\)
\(\Rightarrow A=\dfrac{7}{4}x^2y^3\)
9) \(-A\cdot\left(-4xy\right)^2=\dfrac{6}{7}x^6y^6\)
\(\Rightarrow-A\cdot16x^2y^2=\dfrac{6}{7}x^6y^6\)
\(\Rightarrow-A=\dfrac{6}{7}x^6y^6:16x^2y^2\)
\(\Rightarrow-A=\dfrac{3}{56}x^4y^4\)
\(\Rightarrow A=-\dfrac{3}{56}x^4y^4\)
#Urushi☕
