## anonymous 4 years ago (x^2/3)^-3

1. anonymous

|dw:1327970626555:dw|

2. anonymous

two-thirds is the exponent for x

3. anonymous

sorry that was confusing but it makes a huge difference, can you help me?

4. Rogue

When you do something to a negative exponent, you reciprocate it to make the exponent positive. So for example...$(\frac {1}{2})^{-1} = (\frac {2}{1})^{1}$$(\frac {2}{3})^{-2} = (\frac {3}{2})^{2}$

5. Rogue

So for your problem, first make the exponent positive.

6. Rogue

$(\frac {x^2}{3})^{-3} = (\frac {3}{x^2})^{3}$

7. Rogue

Do you get that step?

8. Rogue

After that, when we raise a fraction to a power, we just raise the numerator and denominator both to that power.$(\frac {3}{x^2})^3 = \frac {3^3}{(x^{2})^{3}} = \frac {27}{x^6}$