how do u "simplify and write the expression with positive exponents" (2w^2 / w^6)^4?

Answer 1

(2w^2 / w^6)^4
(2/w^4)^4
16/w^16

Answer 2

Hello follow this

first you simplify the deminator

( w^6 )^ 4 6 x 4 = 24

( 2 w ^ 2 )
---------------
w ^ 24

( 2 w ^ 2 + (- 24 ) = 2w ^ - 22


the final answer is

2
------------
w ^24

Answer 3

once you have destructive exponents, it in basic terms ability you progression from the numerator or denominator to the different. So in a.) 2 ^–a million + 4^ –a million will become (a million/2^a million)+(a million/4^a million) which simplifies to (a million/2) + (a million/4). including those equals (3/4). b.) ( 2/5 )^ -3 is comparable to (a million) / (2/5)^3. This equals (a million) / (8/one hundred twenty five). that's simplified to one hundred twenty five/8. wish this helps!

Answer 4

((2w^2)/(w^6))^4 =
(2 * w^(2 - 6))^4 =
(2w^(-4))^4 =
32w^(-16) =
(32/(w^16))