Question

1.Determinar os valores das potências descritas abaixo:
a) 5-2 b) 53 c) (-4)2 d) π0 e) (11-3:113)2 f) (0,2-2)4 g) 46.4-2 h) 32:3-4 i) 3-2:3-3 j) 7-2:(73)2

Answer 1

Resposta:

a) $5^{-2}$ = $\frac{1}{5^{2} }$ = $\frac{1}{25}$

b) $5^{3}$ = 5 x 5 x 5 = 125

c)$(-4)^{2}$ = (-4) x (-4) = 16

d) $\pi ^{0}$ = 1

e) ($11^{-3}$:$11^{3}$)² = ($11^{-3-3}$)² = ($11^{-6}$)² = $11^{-12}$ = $\frac{1}{11^{12} }$ = $\frac{1}{3138428376721}$

f) (0,2$^{-2}$)$^{4}$ = $0,2^{-8}$ = $\frac{1}{0,2^{-8} }$ = $\frac{1}{0,00000256}$

g) $4^{6}$x$4^{-2}$ = $4^{6-2}$ = $4^{4}$

h) 3²:$3^{-4}$ = $3^{2-(-3)}$ = $3^{2+4}$ = $3^{6}$

i) $3^{-2}$:$3^{-3}$ = $3^{-2-(-3)}$ = $3^{-2+3}$ = $3^{1}$ = 3

j) $7^{-2}$:($7^{3}$)² = $7^{-2}$ :  $7^{6}$ = $7^{-2-6}$ = $7^{-8}$ = $\frac{1}{7^{8} }$ = $\frac{1}{5764801}$