Simplify 9 to the 2nd over 9 to the 7th. 95 1 over 9 to the 9th 1 over 9 to the negative 5th 1 over 9 to the 5th

Mathematics

1 answer:

Alekssandra [29.7K]3 years ago

5 0

$\bf ~~~~~~~~~~~~\textit{negative exponents}\\\\
a^{-n} \implies \cfrac{1}{a^n}
\qquad \qquad
\cfrac{1}{a^n}\implies a^{-n}
\qquad \qquad 
a^n\implies \cfrac{1}{a^{-n}}\\\\
-------------------------------\\\\
\cfrac{9^2}{9^7}\implies \cfrac{1}{9^{-2}9^7}\implies \cfrac{1}{9^{-2+7}}\implies \cfrac{1}{9^5}\implies \cfrac{1}{59049}$

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