egoapple75
egoapple75 egoapple75
  • 19-09-2018
  • Mathematics
contestada

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

Respuesta :

jdoe0001 jdoe0001
  • 19-09-2018

[tex]\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[/tex]

Answer Link
Kayla574
Kayla574 Kayla574
  • 09-11-2018

I took the test, the right answer is 108

Answer Link

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