a)
3^2\cdot 5^2=(3\cdot5)^2=15^2
b)
(\frac{1}{2})^4\cdot (\frac{5}{2})^4=(\frac{1}{2}\cdot \frac{5}{2})^4=(\frac{5}{4})^4=(1\frac{1}{4})^4
=1,25^4
c)
(-2)^3\cdot 4^3=(-2\cdot 4)^3=(-8)^3=-(2^3)^3=-2^9
d)
(2\frac{1}{2})^5\cdot (-2)^5=[\frac{5}{\not2^1}\cdot (-\not2^1)]^5=[5\cdot (-1)]^5=(-5)^5=-5^5
e)
{(\frac{3}{4})^2\cdot (-\frac{2}{3})^2\cdot 8=(\frac{3}{4})^2\cdot (\frac{2}{3})^2\cdot 8=(\frac{\not3^1}{\not4^1}\cdot\frac{2}{\not3^1}\cdot \not8^2)^2=(2\cdot2)^2=(2^2)^2=2^4}
f)
(-2)^5\cdot (-1)^5\cdot (-\frac{1}{2})^5=[(-\not2^1)\cdot (-1)\cdot (-\frac{1}{\not2^1})]^5=(-1)^5=-1^5
g)
4^0\cdot (-3\frac{1}{5})^0\cdot (-5\frac{1}{3})^0=1\cdot 1\cdot 1=1^1 … a^0=1
h)
(-0,2)^4\cdot (-10)^4=0,2^4\cdot 10^4=(0,2\cdot10)^4=2^4