Question

How do you find the power of a product?

Answer 1

You have to multiply the numbers

Answer 2

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:)