Question

Calcule as pontências:

A) (5x) elevado a 3
B) ( 2 sobre 3 x elevado a dois) elavado a 4
C) ( m elevado a 5 y elevado a 4 ) elevado a 6, tudo isso sobre 2
D) [(-2m elevado a tres x elevado a 4) elevado a dois] elevado a dois

Answer 1

Resposta:

Explicação passo-a-passo:

$a) \\\\ (5x)^3\\ \\ 5^3 . x^3\\ \\ => 125x^3$

===

b)

$(\dfrac{2}{3x^2})^4\\ \\ \\\dfrac{2^4}{(3x^2)^4} \\ \\ \\=> \dfrac{16}{81x^8}$

===

c)

$(\dfrac{(m^5y^4)^6}{2}) \\\\ \\=> \dfrac{m^{30}y^{24}} {2}$

===

d)

$((-2m^3.x^4)^2)^2\\ \\ (4x^6m^8)^2\\ \\ => 16x^{16}m^{12}$

Answer 2

Resposta:

OLÁ

VAMOS A SUA PERGUNTA:⇒⇒

A:)》》

$(5x) ^ { 3 }$

$\star \: \text{Expanda (5x ) }^{2}$

$5^{3}x^{3}$

$\star \: \text{Calcule 5 elevado a 3 e obtenha 125.}$

$\boxed{\bold{\displaystyle{\clubsuit\ \spadesuit\ \maltese \: = 125x^{3} }}}\ \checkmark$

B:)》》

$( \dfrac{ 2 }{ 3x ^ { 2 } } ) ^ { 4 }$

$\dfrac{2^{4}}{\left(3x^{2}\right)^{4}}$

$\dfrac{16}{\left(3x^{2}\right)^{4}}$

$\dfrac{16}{3^{4}\left(x^{2}\right)^{4}}$

$\dfrac{16}{3^{4}x^{8}}$

$\boxed{\bold{\displaystyle{\clubsuit\ \spadesuit\ \maltese\ \frac{16}{81x^8}\checkmark }}}$

C:)》》

$( \dfrac{ (m ^ { 5 } y ^ { 4 } ) }{ 2 } ) ^ { 2 }$

$\dfrac{\left(m^{5}y^{4}\right)^{2}}{2^{2}}$

$\dfrac{\left(m^{5}\right)^{2}\left(y^{4}\right)^{2}}{2^{2}}$

$\dfrac{m^{10}\left(y^{4}\right)^{2}}{2^{2}}$

$\dfrac{m^{10}y^{8}}{2^{2}}$

$\boxed{\bold{\displaystyle{\clubsuit\ \spadesuit\ \maltese \: \frac{m^{10}y^{8}}{4} }}}\ \checkmark$

D:》》

$((-2m ^ { 3 } \times x ^ { 4 } ) ^ { 2 } ) ^ { 2 }$

$\left(\left(-2\right)^{2}\left(m^{3}\right)^{2}\left(x^{4}\right)^{2}\right)^{2}$

$\left(\left(-2\right)^{2}m^{6}\left(x^{4}\right)^{2}\right)^{2}$

$\left(\left(-2\right)^{2}m^{6}x^{8}\right)^{2}$

$\left(4m^{6}x^{8}\right)^{2}$

$4^{2}\left(m^{6}\right)^{2}\left(x^{8}\right)^{2}$

$4^{2}m^{12}\left(x^{8}\right)^{2}$

$4^{2}m^{12}x^{16}$

$\boxed{\bold{\displaystyle{\clubsuit\ \spadesuit\ \maltese  16m^{12}x^{16} }}}\ \checkmark$

Explicação passo-a-passo:

ESPERO TER AJUDADO