Question

Potência negativa e o inverso do número.

1) 7 elevado a -2

2) 5 elevado a -2

3) 2 elevado a -4

4) 2 elevado a -5

5) (-3) elevado a -2

6) (-3) elevado a -3

Com calculos

Por favor me ajudem

Answer 1

$1)\\7^{-2}~=~\left(\frac{1}{7}\right)^2~=~\frac{1^2}{7^2}~=~\boxed{\frac{1}{49}}\\\\\\2)\\5^{-2}~=~\left(\frac{1}{5}\right)^2~=~\frac{1^2}{5^2}~=~\boxed{\frac{1}{25}}\\\\\\3)\\2^{-4}~=~\left(\frac{1}{2}\right)^4~=~\frac{1^4}{2^4}~=~\boxed{\frac{1}{16}}\\\\\\4)\\2^{-5}~=~\left(\frac{1}{2}\right)^5~=~\frac{1^5}{2^5}~=~\boxed{\frac{1}{32}}\\\\\\5)\\(-3)^{-2}~=~\left(\frac{1}{(-3)}\right)^2~=~\frac{1^2}{(-3)^2}~=~\boxed{\frac{1}{9}}$

$6)\\(-3)^{-3}~=~\left(\frac{1}{(-3)}\right)^3~=~\frac{1^3}{(-3)^3}~=~\frac{1}{-27}~=~\boxed{-\frac{1}{27}}$