Ask your own question, for FREE!
Mathematics 17 Online
OpenStudy (laronjaxon):

simplify 125^-2/3

OpenStudy (maheshmeghwal9):

\[a^2=a \times a\]\[a^{-2}=\frac{1}{a^2}=\frac{1}{a \times a}\]\[a^{\frac{1}{2}}=\sqrt{a}.\]\[a^{\frac{1}{3}}=\sqrt[3]{a}\]So; \[125^{\frac{-2}{3}}=\sqrt[3]{\frac{1}{125^2}}\]

OpenStudy (maheshmeghwal9):

\[\implies \sqrt[3]{\frac{1}{5*5*5*5*5*5}}\]Now do this

OpenStudy (maheshmeghwal9):

tell me what do u get?

OpenStudy (laronjaxon):

15625 :o for all thee 5x5x5 etc

OpenStudy (maheshmeghwal9):

no i don't want ur calculation I want the cube root of that big problem only looking big

OpenStudy (laronjaxon):

625?

OpenStudy (maheshmeghwal9):

no try once again but remember take cuberoot of numerator & denominator separately

OpenStudy (anonymous):

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!