Question

EXERCÍCIOS:
faça como nos exemplos:


a) (2³)⁴
b) (5²)⁶
c) (3-⁴)-²
d) (a⁵)-²
e) (b-²)-²
f) (7³)-⁵
g) (5-³)-³
h) (x⁴)-²
i) (m-⁶)⁴
j) (3-²)-³​

Answer 1

Resposta:

a) $2^{12}$

b) $5^{12}$

c) $3^{8}$

d) $a^{-10}$

e) $b^{4}$

f) $7^{-15}$

g) $5^{9}$

h) $x^{-8}$

i) $m^{-24}$

j) $3^{6}$

Explicação passo-a-passo:

a) $(2^{3})^{4} = 2^{3.4} = 2^{12}$

b) $(5^{2})^{6} = 5^{2.6} = 5^{12}$

c) $(3^{-4})^{-2} = 3^{-4.-2} = 3^{8}$

d) $(a^{5})^{-2} = a^{5.-2} = a^{-10}$

e) $(b^{-2})^{-2} = b^{-2.-2} = b^{4}$

f) $(7^{3})^{-5} = 7^{3.-5} =7^{-15}$

g) $(5^{-3})^{-3} = 5^{-3.-3} =5^{9}$

h) $(x^{4})^{-2} = x^{4.-2} =x^{-8}$

i) $(m^{-6})^{4} = m^{-6.4} =m^{-24}$

j) $(3^{-2})^{-3} = 3^{-2.-3} = 3^{6}$