Ask your own question, for FREE!
Mathematics 19 Online
OpenStudy (anonymous):

Describe how to transform __ into an expression with a rational exponent.

OpenStudy (anonymous):

OpenStudy (anonymous):

exponent will be four times five over three

OpenStudy (anonymous):

aka \[\large \frac{20}{3}\]

OpenStudy (anonymous):

Thanks! How did you get there?

OpenStudy (anonymous):

\[\Large \sqrt[3]{x^4} = x^{\frac{ 4 }{ 3 }}\] and \[\Large (n^p)^q=n^{p*q}\] \[\frac{ 4 }{ 3 }*5=\frac{ 20 }{ 3 }\]

OpenStudy (anonymous):

Thank you so so much !

OpenStudy (anonymous):

(np)q=np∗q Is that a formula?

OpenStudy (anonymous):

n p * q

OpenStudy (anonymous):

it is not a formula

OpenStudy (anonymous):

\[\large \sqrt[n]{x^m}=x^{\frac{m}{n}}\]

OpenStudy (anonymous):

it is just another way of writing the same thing \[\large 8^{\frac{2}{3}}=\sqrt[3]{8^2}\] for example

OpenStudy (anonymous):

Okay I got it now:) Thanks again:)

OpenStudy (anonymous):

and it is also true that \[\large (b^k)^j=b^{jk}\]

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!