Simplify the expression

Question

anonymous · Answer

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

solomonzelman · Answer

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

shamim · Answer

16=2^4

solomonzelman · Answer

can you finish the problem ?

anonymous · Answer

$$2a^4b^3$$

solomonzelman · Answer

yes, correct !

anonymous · Answer

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

anonymous · Answer

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

solomonzelman · Answer

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

anonymous · Answer

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

anonymous · Answer

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

solomonzelman · Answer

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

solomonzelman · Answer

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

anonymous · Answer

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

solomonzelman · Answer

then what I said is correct.