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Mathematics 6 Online
OpenStudy (anonymous):

Simplify the expression

OpenStudy (anonymous):

\[\sqrt[4]{16a^6b ^{12}}\]

OpenStudy (solomonzelman):

\(\Large\color{red}{ \bf \sqrt[4]{16a^{16}b^{12}} }\) \(\Large\color{red}{ \bf \sqrt[4]{(2a^4)^{4}~~(b^{3})^4} }\)

OpenStudy (shamim):

16=2^4

OpenStudy (solomonzelman):

can you finish the problem ?

OpenStudy (anonymous):

\[2a^4b^3\]

OpenStudy (solomonzelman):

yes, correct !

OpenStudy (anonymous):

no First express the radical in exponential form. Treat each factor separately.

OpenStudy (anonymous):

\[b ^{\frac{ m }{ n }} = \sqrt[n]{b ^{m}} = \left( \sqrt[n]{b} \right)^m\]

OpenStudy (solomonzelman):

\(\large\color{blue}{ \rm (2^3)^4 =16}\) \(\large\color{blue}{ \rm (a^4)^4 =a^{16} }\) \(\large\color{blue}{ \rm (b^3)^4 =b^{12} }\)

OpenStudy (anonymous):

here is the answer \[2ab^3\sqrt{a}\]

OpenStudy (anonymous):

but you get an A for effort so heres your medal...

OpenStudy (solomonzelman):

Yes I meant 2^4=16... not (2^3)^4 =16

OpenStudy (solomonzelman):

I don't really think that I am wrong. I know this stuff fairly well ;) You are leaving some exponents out.

OpenStudy (anonymous):

No that was the exact question posted directly from the sheet its self nothing was left out

OpenStudy (solomonzelman):

then what I said is correct.

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