Question

${\left[{\left(\frac{5}{7}\right)}^2\right]}^3\times 7^6÷{\left(5^3\right)}^2$ is equal to ____.

Answer 1

${\left[{\left(\frac{5}{7}\right)}^2\right]}^3\times 7^6÷(5^3{)}^2$

= ${\left(\frac{5}{7}\right)}^6\times 7^6÷(5^3{)}^2$

= $\left(\frac{5^6}{7^6}\right)\times 7^6÷\left(5^6\right)$

= $5^6÷5^6$

= $5^0$

= $1$ ($as{a}^0=1)$