Simplify radical expressions

Question

Simplify, radical 81x to the forth power.

Answer 1

If you mean sqrt(81)x^4 then:

+-9x^4

+9x^4 or -9x^4

(both + and - are true)

.

If you mean sqrt(81x^4) then:

+-9x^2

+9x^2 or -9x^2

(both + and - are true)

If you mean (sqrt(81x))^4 then:

( (81x)^(1/2) )^4

(81x)^2

6561x^2

.

If you mean fourth root(81x) then:   (there's a little 4 on the radical sign)

(81x)^(1/4)

+-3x^4

+3x^4 or -3x^4

(+ and - both true)