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What is the value of the expression below?

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

What is the value of the expression below? (85/3)1/5 O A. 80100 B. 2 OC. 4 O D. 3/2/2-example-1

2 Answers

4 votes

Answer:

it's 2

Explanation:

as two 5 will cancel each other.

then 8 cube root will be left which is 2

User Tchrikch
by
8.1k points
3 votes

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}

User Marpme
by
8.1k points