Question

Use "^" to indicate exponents. For example, x^5 to represent x5.

Answer 1

`\cfrac{(2^(-4))^(-4)}{2^4* 2^2}\implies \cfrac{2^(-4* -4)}{2^(4+2)}\implies \cfrac{2^(16)}{2^6}\implies 2^(16)\cdot 2^(-6)\implies 2^(16-6)\implies 2^(10)\implies 1024 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{2}{4a^0* a^1* 4^2a^4}\implies \cfrac{2}{4(1)* a^1* 4^2a^4}\implies \cfrac{2}{4* a^1* 4^2a^4} \\\\\\ \cfrac{2}{a^1 a^4 4^1 4^2}\implies \cfrac{2}{a^(1+4)4^(1+3)}\implies \cfrac{2}{a^5 4^4}\implies \cfrac{2}{256a^5}\implies \cfrac{1}{128a^5}`