<s>[INST] Solving for x with radicals and negative exponents How do I go about solving for $x$ in this equation?
$$\displaystyle -x^{-\large\frac{3}{4}} + \frac{15^{\large\frac{1}{4}}}{15} = 0$$
 [/INST] Hint: $$-x^{-3/4} + \frac{15^{1/4}}{15} = 0 \iff -\frac {1}{x^{3/4}} + \frac{15^{1/4}}{15^{4/4}} = 0$$
$$\iff -\frac {1}{x^{3/4}} + \frac{1}{15^{3/4}}  = 0$$
$$\iff \dfrac{x^{3/4}}{15^{3/4}} = 1 \iff \left(\frac{x}{15}\right)^{3/4} = 1$$
Can you take it from here?
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