Question

Calcule as seguintes potências:
A) 2-²
B) 10-¹ =
C) 10-³=
D) (3/2)-³=
E) (2/5)-³
F) (3/4)-²
​

Answer 1

$\red{\huge \: YO \: \: LISTEN \: \: UP}$

${2}^{ - 2} = ({ \frac{1}{2}) }^{2} = \frac{1}{4} \\ \\ {10}^{ -1 } = \frac{1}{10} \\ \\ {10}^{ - 3} = ({ \frac{1}{10} })^{3} = \frac{1}{1000}$

$( { \frac{3}{2} })^{ - 3} = ( { \frac{2}{3} })^{3} = \frac{8}{27} \\ \\ ( { \frac{2}{5} })^{ - 3} = ( \frac{5}{2} {)}^{3} = \frac{125}{8}$

$( { \frac{3}{4} })^{ - 2} = ( { \frac{4}{3}) }^{2} = \frac{16}{9}$