Question

If x²=( 3/7)‐²÷( 1/7)-³find the value of x​

Answer 1

Answer:

${x}^{2} = { (\frac{3}{7}) }^{ - 2} \div { (\frac{1}{7}) }^{ - 3} \\ = { (\frac{1}{7}) }^{3} \div { (\frac{3}{7}) }^{2} \\ = { (\frac{1}{7}) }^{3} \times { (\frac{7}{3}) }^{2} \\ = \frac{1}{ \cancel7} \times \frac{1}{ \cancel7} \times \frac{1}{7} \times \frac{ \cancel7}{3} \times \frac{ \cancel7}{3} \\ \large{ \boxed{{x}^{2} = \underline{ \underline{ \frac{1}{63} }}}} \\ \\ {x}^{2} = \frac{1}{63} \\ x = \sqrt{ \frac{1}{63} } \\ x = \frac{1}{ \sqrt{63} } \\ x = \frac{1}{ \sqrt{9 \times 7} } \\ x = \frac{1}{ \sqrt{ {3}^{2} \times 7} } \\ \large{ \boxed{x= \underline{ \underline{ \frac{1}{3 \sqrt{7} } }}}}$