Question

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Answer 1

$a) (-2)^{2} = (-2).(-2) = 4$

$b) = (-\frac{3}{4})^{4} = (-\frac{3^{4} }{4^{4} } ) = (-\frac{81}{256} )$

$c) (1^{\frac{1}{4} } )^{2} = (1^{\frac{1}{4}.2 } ) = (1^{\frac{1}{2} } ) = \sqrt[2]{1^{1} } = 1$

$d) (-5)^{-3} = (-\frac{1}{5} )^{3} = (-\frac{1^{3} }{5^{3} } ) = -\frac{1}{125}$

$e) (\frac{-1}{3} )^{-3} = (-3)^{3} = -27$

$f) (-4)^{-3} = (-\frac{1}{4} )^{3} = (-\frac{1^{3} }{4^{3} } ) = (-\frac{1}{64} )$