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pochemuha
3 years ago
8

A ^-4 / a ^-6 please simplify and show your work if possible <:D

Mathematics
1 answer:
kipiarov [429]3 years ago
7 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}\\\\ \cfrac{a^{-4}}{a^{-6}}\implies a^{-4}\cdot a^6\implies a^{-4+6}\implies a^2

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Answer:

Total number of choices with a straw:  12

Total number of choices without a straw: 12

Total number of choices: 24

Step-by-step explanation:

Taj has a choice of:

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This made a total of 3*2*2: 12 different choices

if the drink can be served with or without a straw, he choices are doubled, making a total of 2*12 = 24

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