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 \(x^{1} y^{1}\)
so when you raise a product to a power, you multiply the exponents.
\((x^{1} y^{1}) ^{3})\) is really xy · xy · xy . then x·x·x·y·y·y or \(x^{3} y^{3}\)
Similarly \((x^{2}y^{3}z^{4}){5})\) is \(x^{10}y^{15}z^{20}\)
and \((2yz^{4}){5})\) is \(2^{5}y^{5}z^{20}\) which is
\(32y^{5}Z^{20}\)
(hope that worked:)
