Question

Evaluate the expression. Drag the answer into the box to match the expression. 3⋅(6^12/6^10)

Answer 1

$\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ 3\cdot \left( \cfrac{6^{12}}{6^{10}} \right)\implies 3\cdot (6^{12}\cdot 6^{-10})\implies 3\cdot (6^{12-10})\implies 3(6^2) \\\\\\ 3\cdot 36\implies 108$

Answer 2

I took the test, the right answer is 108