Question 463027
4/a^9 = 4*a^(-9)

this is because of the law of exponents that states that a^(-b) = 1/a^b.

4 * a^(-9) = 4 * 1/a^9 = 4/a^9.

not sure if this is what you want, but that's the equivalent expression.

if you are asking how to solve for a, you would do the following:

set the expression equal to some value which we'll call y.

you will get the equation y = 4/a^9

multiply both sides of this equation by a^9 and divide both sides of this equation by y to get a^9 = (4/y)

take the 9th root of both sides of this equation to get a = (4/y)^(1/9) which is equivalent to the expression {{{y = root(9,(4/y))}}}

when you know the value of y, you can solve for a.

an example:

your expression is 4/a^9.

let y = 3000.

your equation is y = 4/a^9 which becomes 3000 = 4/a^9.

you solve for a to get a = (4/3000)^(1/9) which becomes a = .479235243

you confirm this by plugging that value for a in the original equation of 3000 = 4/a^9 which gets you  3000 = 4/(.479235243^9) = 4/.0013333333 = 3000, confirming the answer is good.