Question

Which of the following is equal to the expression below?

Answer 1

Answer: OPTION C.

Step-by-step 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.

Answer 2

Answer:

The exact answer is option C

Step-by-step explanation:

Look at the attached picture for solution