Can you help simplify these equations?

Question

can anyone help to simplify these equations please im so lost

1) sqrt x /x

2) 4xy^-2/12x^-1/3y5

2) 27^ 2/3

3) (5a^2/3)(4a^3/2)

Answer 1

1) Remember that x = SQRT(x) * SQRT(X)

Then:

SQRT(x)/x

= SQRT(x)/( SQRT(x) * SQRT(x) )

Cancelling out leaves:

= 1/SQRT(x)

2) Please re-ask this or leave an edit... it needs brackets to show the algebraic order.. in-line text can be ambiguous.

3) 27^2/3 = (27^(1/3))^2

= 9^2

=81

4) (5a^2/3)(4a^3/2)

= (5/4) * a^(2/3 + 3/2)

=(5/4) * a^((4+9)/6)

= (5/4) * a^(13/6)