lets start with a product of two numbers x and y
the product is xy. All numbers and variables have an exponent. If it is not there, you may assume it to be 1.
So xy is also [tex] x^{1} y^{1} [/tex]
so when you raise a product to a power, you multiply the exponents.
[tex](x^{1} y^{1}) ^{3})[/tex] is really xy · xy · xy . then x·x·x·y·y·y or [tex] x^{3} y^{3} [/tex]
Similarly [tex](x^{2}y^{3}z^{4}){5})[/tex] is [tex]x^{10}y^{15}z^{20}[/tex]
and [tex](2yz^{4}){5})[/tex] is [tex]2^{5}y^{5}z^{20}[/tex] which is
[tex]32y^{5}Z^{20}[/tex]
(hope that worked:)
