Question

QUESTÃO 25: Aplique a propriedade adequada e calcule o valor de:

a) [(+3)³]² =

b) [(+5)¹]⁵=

c) [(-1)⁶]² =

d) [(-1)³]⁷=

e) [(-2)²]³ =

f) [(+10)²]² =

​

Answer 1

$\sf Vamos\:l\acute{a}$

$\sf Calculamos:$

Letra A)

$\sf [(3)^{3}]^{2}=3^{3\times2}=3^{6}=3.3.3.3.3.3=\boxed{\boxed{\sf 729}}$

Letra B)

$\sf [(5)^{1} ]^{5}=5^{1\times5}=5^{5}=5.5.5.5.5=\boxed{\boxed{\sf 3125}}$

Letra C)

$\sf [(-1)^{6}]^{2}=1^{2}=\boxed{\boxed{\sf 1}}$

Letra D)

$\sf [(-1)^{3}]^{7}=-1^{7}=\boxed{\boxed{\sf -1}}$

Letra E)

$\sf [(-2)^{2}]^{3}=-2.-2=4^{3}=4.4.4=\boxed{\boxed{\sf 64}}$

Letra F)

$\sf [(10^{2} )]^{2}=10^{2\times2}=10^{4} =10.10.10.10= \boxed{\boxed{\sf 10000}}$

Bons estudos =)

Answer 2

a) [(+3)³]² = (+3³)² = (+3)³×² = (+3)⁶

b) [(+5)¹]⁵= (+5¹)⁵ = (+5)⁵

c) [(-1)⁶]² = (+1⁶)² = 1

d) [(-1)³]⁷= (-1³)⁷ = (‐1)⁷ = -1

e) [(-2)²]³ = (+2²)³ = (+2)²×⁶ = (+2)⁶

f) [(+10)²]² = (+10²)² = (+10)²×² = (+10)⁴