Question

o valor do produto 14x^8.(-x^-7) é:

A) 14x
B) 14x^15
C) -14x
D) -14x^15

​

Answer 1

$\bf\large{\underline{\qquad \qquad\qquad \qquad \qquad \qquad \qquad \quad }}$

$~$

Resposta correta:

$\large~~{~~\boxed{\boxed{\begin{array}{lr}\displaystyle{\green{~ - 14x ~ }}\end{array}}}}$

$~$

$\underline{\underline{\overline{\overline{\begin{gathered}\boxed{\begin{array}{l} \\\sf\begin{gathered}\large\textsf{\textbf{\underline{Calculo:}}}\end{gathered} \\\ ~ \\\ {\Large{\displaystyle{14x^{8} \times ( - x^{ - 7} )}}}& \\ \\ {\large{\displaystyle{ - 14x^{8} \times - x^{ - 7} }}} \\ \\ {\large{\displaystyle{- 14x^{8- 7}}}} \\ \\ {\large{\displaystyle{- 14x^{1}}}}\\ \\ { \: \: ~ \: \Large{\displaystyle{ = - 14x}}}\\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\end{array}}\end{gathered}}}}}$

$~$

$~~~~~~~~~~~\bf Att.$

${\Huge{\underline{\green{\mathbb{P}}E\green{\mathbb{R}}G\green{\mathbb{U}}N}}} \\ { \Huge{ \: \: \: \: \: \: \: \: \: \: \: \: {{\underline{\green{ T}\mathbb{A}\green{D}\mathbb{O}\green{S}}}}}}$

$~$

$\bf\large{\underline{\qquad \qquad\qquad \qquad \qquad \qquad \qquad \quad }}$

Answer 2

Dividindo, iremos obter: $\boxed {\boxed{ \mathbf{ - 14x}}}$.

Multiplicando um número positivo por um negativo, iremos obter outro negativo, (veja o jogo de sinais). Multiplicamos os termos com a mesma base, e logo iremos subtrair os expoentes. Já que o expoente será 1, não necessita ser escrito, obtendo apenas - 14x.

$\boxed{\boxed{\begin{array}{lr}\boldsymbol{14x {}^{8} \times ( - x {}^{ - 7} )} \\\boldsymbol{ \: - 14x {}^{8} \times x {}^{ - 7} } \\\boldsymbol{ \: \: \: \: - 14x {}^{8 - 7} } \\ \boldsymbol{ \: \: \: \: \: \: - 14x {}^{1} } \\\boldsymbol{ \: \: \: \: \: \: - 14x} \end{array}}}$

〰️〰️〰️〰️〰️〰️〰️〰️〰️〰️〰️〰️〰️〰️〰️

Estude mais em:

• https://brainly.com.br/tarefa/49414056

〰️〰️〰️〰️〰️〰️〰️〰️〰️〰️〰️〰️〰️〰️〰️

$\boxed{\begin{array}{lr}\green{\maltese}\mathbf{ \:By: Bruxa \: de \: Blair}\end{array}}$