Rewrite the expression as an equivalent radical expression. y^(1/6) Show your work here Hint: To add the nth root symbol (√), type “root” Enter your answer Simplify the following expression. (x^(10)b^(10))^5 Show your work here Hint: To add an exponent (x^y), type “exponent” or press “^” Rationalize the denominator. 6/√11 Show your work here Hint: To add the square root symbol (√), type “root”

Sure! Let’s tackle each part of your question step by step.

1. Rewrite the expression as an equivalent radical expression:

The expression given is (y^{1/6}). To rewrite this as a radical expression, you want to express it using the nth root. The general form is:

[

y^{1/n} = sqrt[n]{y}

]

So, for (y^{1/6}):

[

y^{1/6} = sqrt[6]{y}

]

2. Simplify the following expression:

You have ((x^{10}b^{10})^5). To simplify this, apply the power of a product rule, which states that ((ab)^n = a^n b^n):

[

(x^{10}b^{10})^5 = x^{10 cdot 5} b^{10 cdot 5} = x^{50} b^{50}

]

3. Rationalize the denominator:

You need to rationalize the denominator of (frac{6}{sqrt{11}}). To do this, multiply the numerator and the denominator by (sqrt{11}):

[

frac{6}{sqrt{11}} cdot frac{sqrt{11}}{sqrt{11}} = frac