Question

Calcule as potências com expoente negativo a)(+2)-5 b)8-² c)5-³ d)6-²

Answer 1

a)(+2)-⁵ = 1/2⁵ = 1/32

b)8-² = 1/8² = 1/64

c)5-³ = 1/5³ = 1/125

d)6-² = 1/6² = 1/36

Answer 2

Expoente negativo:

$\star\quad\boxed{\tt q^{-n}=\left(\dfrac{1}{q}\right)^n=\dfrac{1}{q^n}~;~q\neq0}\quad\star$

$\mathsf{a)\ 2^{-5}=\left(\dfrac{1}{2}\right)^5=\dfrac{1}{2^5}=\dfrac{1}{32}}$

$\mathsf{b)\ 8^{-2}=\left(\dfrac{1}{8}\right)^2=\dfrac{1}{8^2}=\dfrac{1}{64} }$

$\mathsf{ c)\ 5^{-3}=\left(\dfrac{1}{5}\right)^3=\dfrac{1}{5^3}=\dfrac{1}{125}}$

$\mathsf{ d)\ 6^{-2}=\left(\dfrac{1}{6}\right)^2=\dfrac{1}{6^2}=\dfrac{1}{36}}$