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WINSTONCH [101]
2 years ago
5

the temperature changed from 5 degrees Celsius 6pm to -2 degrees Celsius at midnight. How much did the temperature decrease?

Mathematics
1 answer:
telo118 [61]2 years ago
5 0
7 degrees Celsius because to go from 5 to -2 you would subtract 7 so it’s 7.
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\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\
a^{-{ n}} \implies \cfrac{1}{a^{ n}}
\qquad \qquad
\cfrac{1}{a^{ n}}\implies a^{-{ n}}
\qquad \qquad 
a^{{{  n}}}\implies \cfrac{1}{a^{-{{  n}}}}\\\\
-------------------------------\\\\

\bf \cfrac{7^{16}}{7^{12}}=\cfrac{7^{-18}}{x}\implies x\cdot 7^{16}=7^{12}\cdot 7^{-18}\implies x\cdot 7^{16}=7^{12-18}
\\\\\\
x\cdot 7^{16}=7^{-6}\implies x=\cfrac{7^{-6}}{7^{16}}\implies x=\cfrac{7^{-6}\cdot 7^{-16}}{1}\implies x=7^{-6-16}
\\\\\\
\boxed{x=7^{-22}}\implies x=\cfrac{1}{7^{22}}
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