Which epression is equivalent to (x^4/3 x^2/3)^1/3

The correct answer is X²/³

Step-by-step explanation:

Points to remember

Identity

Xᵃ/Xᵇ = X⁽ ᵃ⁻ ᵇ ⁾

Xᵃ * Xᵇ = X⁽ᵃ ⁺ ᵇ⁾

(Xᵃ)ᵇ = Xᵃᵇ

To find the equivalent expression

We have, (X⁴/³ X²/³)¹/³

Using identities we can write,

(X⁴/³ X²/³)¹/³ = (X⁴/³  * X²/³)¹/³

 = (X⁴/³ ⁺ ²/³)¹/³

 = ( X⁽⁴⁺²⁾/³)¹/³

 = (X⁶/³)¹/³

= (X²)¹/³

= X²/³

Therefore the correct answer is X²/³

Slope of path at time t = 4 is y '(4)/x '(4) = (-15cos(4) + 4cos(4) - 1 + sin(4))/(6 - 2sin(4))

When horizontal position is 60:

2 + 6t + 2cos(t) = 60

Step-by-step explanation: