Nali how do you solve 25^(-3/4) without a calculator? one year ago one year ago

1. Nali

does it have to do with square root?

2. mboorstin

You need to cube it, find that thing's fourth root, and then divide 1 by it.

3. saifoo.khan

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4. Nali

ok i get u @saifoo.khan

5. mboorstin

$$\displaystyle\left(5^2\right)^{\left(-\tfrac{3}{4}\right)}=5^{-\tfrac{3}{2}}=\frac{1}{5^\tfrac{3}{2}}=\frac{1}{\sqrt{125}}=\frac{125}{\sqrt{125}}$$.

6. sasogeek

$$\huge x^4 = \frac{1}{25^3}$$ solve for x :)

7. saifoo.khan

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8. saifoo.khan

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9. Nali

ok thanku