Question

aplique a propriedade de potência de potência


a) [(-4)²]³

b) [(+5)³]⁴

c) [(-3)³]⁴

d) [(-7)³]³

e) [(+2)⁴]⁵

f) [(-7)⁵]³​

Answer 1

$\large \blue{\bf Pot\hat{e}ncia \ de \ uma \ pot\hat{e}ncia}$

$\large\boxed{\blue{\begin{array}{lr}\sf F\acute{o}rmula \to (a^{m})^{n}=a^{m~\cdot ~n}\end{array}}}$

Permanecer a base e multiplicar os expoentes

_____________________________

$\sf a) [(-4)^{2}]^{3}= (-4)^{2~\cdot~ 3}=\boxed{\blue{(-4)^{6}}}$

$\sf b) [(+5)^{3}]^{4}= (+5)^{3~\cdot~ 4}=\boxed{\blue{(+5)^{12}}}$

$\sf c) [(-3)^{3}]^{4}=(-3)^{3~\cdot~ 4}=\boxed{\blue{(-3)^{12}}}$

$\sf d) [(-7)^{3}]^{3}=(-7)^{3~\cdot ~3}=\boxed{\blue{(-7)^{9}}}$

$\sf e) [(+2)^{4}]^{5}= (+2)^{4~\cdot~ 5}=\boxed{\blue{(+2)^{20}}}$

$\sf f) [(-7)^{5}]^{3}= (-7)^{5~\cdot~ 3}=\boxed{\blue{(-7)^{15}}}$

_____________________________

Espero ter ajudado e bons estudos!!!