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

2 answers:

6 0

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

Elden [556K]4 years ago

4 0

I took the test, the right answer is 108

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