Question

Which of the following is equal to the expression below?

Answer 1

The exact answer is option C

Explanation:

Look at the attached picture for solution

Answer 2

Answer: OPTION C.

Explanation:

By definition:

`a^(1/n)=\sqrt[n]{a}`

You must descompose the numbers 160 and 243 into their prime factor:

`160=2*2*2*2*2*5=2^(5)*5`

`243=3*3*3*3*3=3^(5)`

Simplify the expression, then you obtain the following result:

`\sqrt[5]{2^(5)*5*3^(5)}=2*3\sqrt[5]{5}=6\sqrt[5]{5}`

The answer is the option C.