Question

o valor da fracao após operarmos as potências equivale a (-3/5)‐²
o expoente é -2​

Answer 1

• Logo a sua resolução será:

$\blue{\boxed{\boxed{\sf \dfrac{25}{9}}}}\Longleftarrow$

Como temos expoente negativo, vamos usar a formula para deixa positivo:

$\red{\boxed{\orange{\boxed{\sf \left(\dfrac{a}{b}\right)^{-n} =\left(\dfrac{b}{a}\right)^{n}}}}}$

$\bf\large{\underline{\quad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

Logo aplicamos essa formula:

$\large\red{\boxed{\pink{\boxed{\begin{array}{rcl}&&\\&\orange{\sf \left(\dfrac{a}{b}\right)^{-n} =\left(\dfrac{b}{a}\right)^{n}} &\\&&\\\end{array}}}}}$

$\bf\large\red{\underline{\quad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

Agora calculamos:

$\blue{\boxed{\red{\boxed{\begin{array}{rcl}\\\orange{\sf \left(-\dfrac{5}{3}\right)^{2}=\left(-\dfrac{5}{3}\right)\times\left(-\dfrac{5}{3}\right)=\dfrac{25}{9}}\\\\\end{array}}}}}$

$\bf\large{\underline{\quad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

Logo a resposta será:

$\boxed{\boxed{\sf \dfrac{25}{9}}}\Longleftarrow$

$\large{\text{\bf Bons~estudos}}$ =)

$\bf\large{\underline{\qquad \qquad \qquad \qquad \qquad \qquad \quad }}\LaTeX$✍