simplify (16x^12)^3/4?

(16x^12)^3/4=
16^(3/4) x^(12*3/4)
8x^9 (answer)

16x^12)^3/4
(2^4)^3/4(x^12)^3/4
(2^3)(x^9)
8x^9

(16x^12)^3/4 = (2^4)^3/4(x^12)^3/4 = (2^3)(x^9) = 8x^9

(16x^12)^3/4

(16)^(3/4) * (x^12)^(3/4)

--- 8 ------ * ----- X^9

8(X^9)

(16x^12)^3/4 = (2^4)^3/4(x^12)^3/4 = (2^3)(x^9) = 8x^9

16^(3/4) (x^12)^(3/4)
( 2 ³ ) (x³) ³
8 ( x^9 )

well according to my interpretation of this question i think it is

{16 (x)raise to power 12} whole raise to power 3/4

now
to take the power outside the power of x and 16 needs to be same
so we can write 16 = 2^4 and x^12 = x^4*3

we get on taking power 4 outside

(2x^3)^ 3/4*4
= (2x^3)^3
=8x^9
this is the answer

(16x^12)^3/4

The rule is multiply the indices together.
First note that 16 = 2^4
Hence
(2^4*x^12)^3/4 =
(2^3*x^9) =
8x^9

(16x^12)^(3/4)
= 16^(3/4)x^(12 * 3/4)
= ⁴√(16^3)x^(3 * 3)
= ⁴√[(2^3)^4]x^9
= 2^3x^9
= 8x^9

= (16x^12)^3/4
= (16^3/4)x(x^12)^3/4
= ((2^4)^3/4)x(x^3)^3
= (2^3)x(x^9)
= 8x^9