How do you write (x/3)^-4 with positive exponents?

Jul 17, 2016

${\left(\frac{3}{x}\right)}^{4}$

Explanation:

${\left(\frac{a}{b}\right)}^{-} m = {\left(\frac{b}{a}\right)}^{m}$

So, if a fraction is raised to a negative index, the reciprocal of the fraction will have a positive index

This is exactly the law we can apply here.

${\left(\frac{x}{3}\right)}^{-} 4 = {\left(\frac{3}{x}\right)}^{4}$

If you wish to write it without brackets it will be.

${3}^{4} / {x}^{4} = \frac{81}{x} ^ 4$