Question

Simplify showing your work. Remember to use a ^ symbol to indicate exponents.
(3pr^3)^2(pr)=

Answer 1

I know the answer is 9p^3r^7 but i dont know how to work it out

Answer 2

You need these two rules:

When you raise a product to a power, raise every factor to the power.
\((ab)^m = a^mb^m\)

When you raise a power to a power, multiply the powers.
\( (a^m)^n = a^{mn} \)

Answer 3

\( (3pr^3)^2(pr) \)
\( = 3^2 p^2 (r^3)^2 (pr) \)
\( = 9 p^2p r^6 r \)
\( =9 p^3 r^7 \)