Ask your own question, for FREE!
Mathematics 20 Online
OpenStudy (aroub):

(4sqrt of 81a^3)^5

OpenStudy (anonymous):

4.452

OpenStudy (agent47):

4^5 * 3^5 *a^(15/2)

Parth (parthkohli):

\[\left(ab \right)^n = a^n b^n \]

OpenStudy (agent47):

wait is a^3 inside the square root?

OpenStudy (aroub):

yeah

OpenStudy (agent47):

oh ok, so then the answer i gave u shld be right

Parth (parthkohli):

\[\implies (4\sqrt{81a^3})^5 \]\[\implies 4^5 \times \left(\sqrt{81a^3} \right)^5\]

Parth (parthkohli):

simplify

OpenStudy (agent47):

4^5 * 3^5 *a^(15/2) should be 4^5 * 9^5 *a^(15/2)

OpenStudy (aroub):

that becomes sqrt of 81 a^15?

OpenStudy (agent47):

no, since you have: (4*sqrt(81*a^3))^5=4^5*(9*a^(3/2))^5=4^5*9^5*a^15*sqrt(a)

OpenStudy (aroub):

so confusing! >.<

OpenStudy (aroub):

Okay, the fraction exponent is confusing me. I think there is a way without using it, right?

OpenStudy (aroub):

Oh well :/ Thanks everyone! :)

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!
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!