-(-3)^2=9 -3^2=-9 -1052=1 -15^1=15 -4^-3=(1)/(4^3)=(1)/(64) -2^-3=(1)/(2^3)=(1)/(8) a) (-2)^2= b) -2^3= c) -(-2)^3= d) ((2)/(3))^3= e) (-(1)/(4))^3= f) -(-(3)/(2))^3= g) (-1)^10= h) (2^-1-(-2)^2+(-2)^-1)/(2^2)+2^(-2)

a) \( (-2)^{2} = 4 \)<br /><br />b) \( -2^{3} = -8 \)<br /><br />c) \( -(-2)^{3} = -(-8) = 8 \)<br /><br />d) \( \left(\frac{2}{3}\right)^{3} = \frac{8}{27} \)<br /><br />e) \( \left(-\frac{1}{4}\right)^{3} = -\frac{1}{64} \)<br /><br />f) \( -\left(-\frac{3}{2}\right)^{3} = -\left(-\frac{27}{8}\right) = \frac{27}{8} \)<br /><br />g) \( (-1)^{10} = 1 \)<br /><br />h) \( \frac{2^{-1}-(-2)^{2}+(-2)^{-1}}{2^{2}+2^{-2}} = \frac{\frac{1}{2} - 4 + \frac{1}{2}}{4 + \frac{1}{4}} = \frac{-3}{\frac{17}{4}} = -\frac{12}{17} \)