a) (-2x)³=-8x³
b) = ( 9/4)x²y²
c) [(-1/2)×x²×y]²=1/4([tex] x^{4} y^{2} [/tex])
d)
[tex](- \sqrt{3} x^{2} )^{3} =-3 \sqrt{3} \cdot x^{6} [/tex]
e)
[tex](-5a^{2}b)^{4} =5^{4}a^{8}b^{4} [/tex]
g)
[tex](-2x)^{4}:(-4x^{2})= 2^{4} \cdot x^{4}:(-2^{2}\cdot x^{2} )=-8 x^{2} [/tex]
h)
[tex]-6^{3}x^{6}y^{6}:3^{2}x^{2}y^{2} =216 x^{6}y^{6}:9x^{2}y^{2}=24 x^{2} y^{2}[/tex]
6)
b)[tex][(-2xy) ^{2}] ^{3}:(-4 x^{2} )^{2} = \frac{4 ^{3}x^{6}y^{6}}{4^{2}x^{4}}=4 x^{2} y^{6} [/tex]