Question

1- Calcule as potências
$a) {3}^{3}$
$b)( \frac{1}{3} ) {}^{3}$
$c) {4}^{0}$
$d)( - 5) {}^{2}$
$e)( - \frac{1}{5} ) {}^{3}$
$f)( - 7) {}^{3}$
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Answer 1

Resposta passo a passo:

$a)3^{3} =3\times3\times3=9\times3=27$

$b)(\frac{1}{3} )^{3} =\frac{1^{3} }{3^{3} } =\frac{1\times1\times1}{3\times3\times3} =\frac{1}{9\times3} =\frac{1}{27}$

$c)4^{0} =4^{1-1} =\frac{4^{1} }{4^{1} } =\frac{4}{4} =1$

$d)(-5)^{2} =(-5)\times(-5)=25$

$e)(-\frac{1}{5} )^{3} =(\frac{-1}{5} )^{3}=\frac{-1\times(-1)\times(-1)}{5\times5\times5}=\frac{1\times(-1)}{25\times5} =\frac{-1}{125} =-\frac{1}{125}$

$f)(-7)^{3} =(-7)\times(-7)\times(-7)=49\times(-7)=-343$