## anonymous 4 years ago what is the radical for: (3/4)^0.8

1. anonymous

and how can i figure it out for myself?

2. anonymous

When working with radicals try to convert decimals to fractions, in this case .8 would equal 8/10 or 4/5. Now, if you remember, the denominator is the index of the root and the numerator is the exponent of the radicand. $\sqrt[n]{x^{a}}=x^{\dfrac{a}{n}}$

3. anonymous

That is you must first raise your radicand (3/4) to the fourth power and then take the fifth root of the result.