Answered

Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Explore our Q&A platform to find reliable answers from a wide range of experts in different fields. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

if (a/b) =(9/7)^-3 ÷(3/7)^1, then find the value of (a/b)^2​

Sagot :

sreedevi102

Answer:

decimal = 1.20527

Step-by-step explanation:

[tex]\frac{a}{b} = (\frac{9}{7})^{-3} \div (\frac{3}{7})^1[/tex]

  [tex]=(\frac{7}{9})^3 \times \frac{7}{3}\\\\[/tex]

[tex](\frac{a}{b})^2 = ((\frac{7}{9})^3)^2 \times (\frac{7}{3})^2\\\\[/tex]

      [tex]= \frac{7^6 \times 7^2}{9^6 \times 3^2}\\\\= \frac{7^8}{9^6 \times 9}\\\\=\frac{7^8}{9^7}\\\\=\frac{7^7 \times 7}{9^7}\\\\= 7 \times \frac{7^7}{9^7}\\\\= 7 \times (\frac{7}{9})^7[/tex]

      [tex]=\frac{5764801}{4782969}[/tex]      

We appreciate your time. Please come back anytime for the latest information and answers to your questions. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.