Question

Which value is equivalent to

Answer 1

The answer to this question is 100/9

Answer 2

`\bf \left( \cfrac{~~\begin{matrix} 7 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~\cdot 5\cdot 2}{~~\begin{matrix} 7 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~\cdot 3} \right)^2 * \left( \cfrac{5^0}{2^(-3)} \right)^3* 2^(-9)\implies \left( \cfrac{5\cdot 2}{ 3} \right)^2 * \left( \cfrac{1}{2^(-3)} \right)^3* 2^(-9)`

`\bf \left( \cfrac{10}{ 3} \right)^2 * \left( 2^3 \right)^3* 2^(-9)\implies \left( \cfrac{10}{ 3} \right)^2 * 2^9* 2^(-9)\implies \cfrac{10^2}{3^2}* 2^(9-9) \\\\\\ \cfrac{100}{9}* 2^0\implies \cfrac{100}{9}* 1\implies \cfrac{100}{9}`