Question

Write the following expression without negative exponents.

Answer 1

`\cfrac{5^7}{5^(-13)}*\left( \cfrac{4^3}{7^(-2)} \right)^(-2)\implies 5^7\cdot 5^(13)* \left( \cfrac{7^(-2)}{4^3} \right)^(+2)\implies 5^7\cdot 5^(13)*\left( \cfrac{7^(-4)}{4^6} \right) \\\\\\ 5^(7+13)*\left( \cfrac{1}{4^6\cdot 7^4} \right)\implies \cfrac{5^(20)}{4^6\cdot 7^4}\implies \cfrac{95367431640625}{9834496}`