Question

Qual e a diferenca entre as potencias (9/2)² e -9/7²

Answer 1

Diferença é o mesmo que subtração

${(\frac{9}{2})}^{2}=\frac{81}{4}$

$\frac{-9}{{7}^{2}}=-\frac{9}{49}$

${(\frac{9}{2})}^{2}-\frac{-9}{{7}^{2}}=\frac{81}{4}-{(-\frac{9}{49})}$

${(\frac{9}{2})}^{2}-(\frac{-9}{{7}^{2}}) </p><p>=\frac{81}{4}+\frac{9}{49}$

${(\frac{9}{2})}^{2}-(\frac{-9}{{7}^{2}}) =\frac{3969}{196}+\frac{36}{196}=\color{blue}{\frac{4005}{196}}\color{green}{\checkmark}$