Question

Simplify:

`(81)^(0.25) xx (81)^(0.5) - (16)^(0.75)`

Answer 1

Let’s simplify:

(81)^0.25 × (81)^0.5 – (16)^0.75

Step 1: Simplify powers of 81

`(81)^(0.25) = root(4)(81) = root(4)(3^4) = 3`

`(81)^(0.5) = sqrt(81) = 9`

3 × 9 = 27

Step 2: Simplify (16)^0.75

`(16)^(0.75) = (16)^(3/4)`

= `(2^4)^(3/4)`

= 2³

= 8

27 – 8 = \[\boxed{19}\]