what on earth is: -4th root of( 48a^8b^25 )

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Guest Apr 30, 2015

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Best Answer

$$\\( 48a^{8}b^{25} )^{(1/4)}\\
=48^{1/4}a^{8*1/4}b^{25*1/4} \\
=16^{1/4}*3^{1/4}a^{2}b^{25/4} \\
=2\sqrt[4]{3}a^{2}b^{6.25} \\$$

That is not exactly simple but it is equivalent

Melody Apr 30, 2015

Melody · Answer 1 · 2015-04-30T08:42:31

$$\\( 48a^{8}b^{25} )^{(1/4)}\\
=48^{1/4}a^{8*1/4}b^{25*1/4} \\
=16^{1/4}*3^{1/4}a^{2}b^{25/4} \\
=2\sqrt[4]{3}a^{2}b^{6.25} \\$$

That is not exactly simple but it is equivalent