Question

Simplify the following expression using only positive exponents. Help please!?

Answer 1

$\bf a^{-{ n}} \implies \cfrac{1}{a^{ n}}\qquad \qquad \cfrac{1}{a^{ n}}\implies a^{-{ n}}\\\\ -----------------------------\\\\ thus\implies \cfrac{-9t^{25}}{7t^{26}}\implies \cfrac{-9}{1}\cdot \cfrac{t^{25}}{1}\cdot \cfrac{1}{t^{26}}\cdot \cfrac{1}{7} \\\\\\ \cfrac{-9}{1}\cdot \cfrac{t^{25}}{1}\cdot t^{-26}\cdot \cfrac{1}{7}\implies \cfrac{-9}{1}\cdot \cfrac{t^{25}t^{-26}}{1} \cdot \cfrac{1}{7}\implies \cfrac{-9}{1}\cdot \cfrac{t^{25-26}}{1} \cdot \cfrac{1}{7}$

$\bf \cfrac{-9}{1}\cdot \cfrac{t^{-1}}{1} \cdot \cfrac{1}{7}\implies \cfrac{-9}{1}\cdot \cfrac{1}{t^{1}} \cdot \cfrac{1}{7}\implies \cfrac{-9}{7t}$