Question

Simplify (x5/8)2/3 look at the picture

Answer 1

The correct answer is ((x⁵/⁸)²/³) = x⁵/¹²

Explanation:

Points to remember:-

Identity

(xᵃ)ᵇ = xᵃᵇ

Here it is given that, ((x⁵/⁸)²/³)

To find the value of ((x⁵/⁸)²/³)

(5/8) * (2/3) = (5 * 2) /(8 * 3) = 10/24 = 5/12

By using identity (xᵃ)ᵇ = xᵃᵇ we can write,

((x⁵/⁸)²/³) = x⁽⁵/⁸⁾ˣ⁽²/³⁾

= x⁵/¹²

Therefore the correct answer is ((x⁵/⁸)²/³) = x⁵/¹²

Answer 2

`x^{(5)/(12) }`

Explanation:

In the question given we use the law of exponents;

`(a^(b))^(c) = a^(bc)`

If a base a is raised to a power b and the entire expression raised to a power c, the resulting expression is simply equal to the base a raised to the product of the two exponents b and c, that is bc.

In the case given,

a = x

b = 5/8

c = 2/3

To simplify the expression we simply multiply b and c;

bc = 5/8 * 2/3

= 5/12

The simplified expression is thus;

`x^{(5)/(12) }`