Asked by Jenna
how do you write radicals as powers? please help me with the following question, I know the answer but I don't know HOW to get it. I must learn this so please help me.
y5/3 is under the square root sign
sorry I retyped this, but I made a mistake typing it before
y5/3 is under the square root sign
sorry I retyped this, but I made a mistake typing it before
Answers
Answered by
Steve
roots are fractional powers. The nth root of x is x^(1/n)
Because if y is the nth root of x, y^n = x.
(x^(1/n))^n = x^(n/n) = x^1 = x
√(y<sup>5/3</sup> = (y<sup>5/3</sup>)<sup>1/2</sup> = y<sup>5/6</sup>
Because if y is the nth root of x, y^n = x.
(x^(1/n))^n = x^(n/n) = x^1 = x
√(y<sup>5/3</sup> = (y<sup>5/3</sup>)<sup>1/2</sup> = y<sup>5/6</sup>
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