206k views
3 votes
Which expression is equivalent to75a7b"40213,9 ? Assume a=1 and C=0.

User Charla
by
8.7k points

1 Answer

3 votes

we have the expression


\sqrt[3]{(75a^7b^4)/(40a^((13))c^9)}

Remember that


(75)/(40)=(15)/(8)=(15)/(2^3)
(a^7)/(a^((13)))=(1)/(a^6)

substitute


\sqrt[3]{(75a^7b^4)/(40a^((13))c^9)}=\sqrt[3]{(15b^4)/(2^3a^6c^9)}

we have that


2^3a^6c^9=(2a^2c^3)^3

substitute


\sqrt[3]{(15b^4)/(2^3a^6c^9)}=\frac{\sqrt[3]{15b^4}}{(2a^2c^3)}=b\frac{\sqrt[3]{15b^{}}}{(2a^2c^3)}

answer is the second option

User Muhammad Younus
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories