Ask
your own question, for FREE!
Mathematics
19 Online
OpenStudy (anonymous):
3radical 64a^16
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (solomonzelman):
\[\huge\color{blue}{ \sqrt[3]{64a^{16}} }~~~~~~~~~~~~~~~~~~~~this?\]
OpenStudy (anonymous):
yes
OpenStudy (solomonzelman):
you can re-write it as.\[\huge\color{blue}{ \sqrt[3]{4^3a^{15}\times a} }\]
OpenStudy (kc_kennylau):
\[\huge\sqrt[3]{64a^{16}}=\sqrt[3]{64}\sqrt[3]{a^{16}}=\sqrt[3]{4\times4\times4}\sqrt[3]{a^5\times a^5\times a^5\times a}\]
OpenStudy (kc_kennylau):
Sorry the a is hidden on the right
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
i have to see what its equivalent to
OpenStudy (solomonzelman):
\[\huge\color{orangered}{ \sqrt[3]{64a^{16}} }=\huge\color{orangered}{ \sqrt[3]{4^3a^{15} \times a }}\]\[\huge\color{orangered}{ =\sqrt[3]{4^3~~(a^5){3}~~\times a} }\]
OpenStudy (solomonzelman):
Can you simplify that?
OpenStudy (solomonzelman):
the last thing is supposed to be \[\huge\color{lime}{ \sqrt[3]{4^3~(a^5)~^{3} \times a} }\]
OpenStudy (kc_kennylau):
\[\huge\begin{array}{}&\sqrt[3]{64a^{16}}\\=&\sqrt[3]{64}\times\sqrt[3]{a^{16}}\\=&\sqrt[3]{4\times4\times4}\times\sqrt[3]{a^5\times a^5\times a^5\times a}\\=&4\times a^5\sqrt[3]a\end{array}\]
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
thank you so much!
OpenStudy (kc_kennylau):
Do you understand the WHOLE concept now?
OpenStudy (anonymous):
yes
OpenStudy (kc_kennylau):
That means if I were to give you one more question of the same type, would you be able to solve it?
OpenStudy (kc_kennylau):
(Don't worry, I won't)
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
yes I know what it means
OpenStudy (kc_kennylau):
Glad to know, just to get me out of trouble.
OpenStudy (anonymous):
lol ty merry christmas
OpenStudy (kc_kennylau):
thx u2 :D
Can't find your answer?
Make a FREE account and ask your own questions, OR help others and earn volunteer hours!
Join our real-time social learning platform and learn together with your friends!