OpenStudy (anonymous):

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

5 years ago
OpenStudy (anonymous):

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

5 years ago
OpenStudy (mathstudent55):

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. $$(a^m)^n = a^{mn}$$

5 years ago
OpenStudy (mathstudent55):

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

5 years ago