Which of the following is equal to the expression below? (160x243) ^1/5

a. 80

b. 96

c. 5 square root 5

d. 6 square root 5

160 = 2 x 2 x 2 x 2 x 2 x 5 = 2^5 x 5

243 = 3 x 3 x 3 x 3 x 3 = 3^5

So

(160 * 243) ^1/5

= 5th root of (160 * 243)

= 5th root of (2^5 * 5 * 3^5)

= 2 * 3 * (5th root of 5)

= 6 * (5th root of 5)

Answer is D. 6 * (5th root of 5)