Question

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

A. 36
B. 39
C. 92
D. 108

Answer 1

I took the test, the right answer is 108

Answer 2

`\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`