Question

What is the value of the expression below?

(85/3)1/5
O A.
80100
B. 2
OC. 4
O
D. 3/2/2

Answer 1

it's 2

Explanation:

as two 5 will cancel each other.

then 8 cube root will be left which is 2

Answer 2

Hello!

Answer:

`\Large \boxed{\sf 2}`

Explanation:

We want the value of this expression:

`\sf (8^{(5)/(3)})^{(1)/(5)`

Let's simplify this expression:

We have this formula:

`\sf (a^b)^c = a^(b * c)\\\\`

Apply this formula:

`\sf (8^{(5)/(3)})^{(1)/(5)}\\\\= ((2^(3))^{ (5)/(3)} }))^{(1)/(5)}\\\\= (2^{3 * (5)/(3) })^{(1)/(5)}\\\\= (2^{ (15)/(3) })^{(1)/(5)}\\\\= (2^( 5 ))^{(1)/(5)}\\\\= 32^{(1)/(5)}\\\\= (2^5)^{(1)/(5)}\\\\= 2^{5 * (1)/(5) }\\\\= 2^{(5)/(5) }\\\\= 2^1\\\\\boxed{\sf = 2}`