Question
Simplifying Expressions Involving Radicals Simplify the expression and express the answer using rational exponents. Assume that all letters denote positive numbers.$$\sqrt[3]{y \sqrt{y}}$$
Step 1
The cube root of a number is the same as raising that number to the power of 1/3, and the square root of a number is the same as raising that number to the power of 1/2. So, we can rewrite the expression as: $$ (y \cdot y^{1/2})^{1/3} $$ Show more…
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Prerequisites
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Simplify the expression and express the answer using rational exponents. Assume that all letters denote positive numbers. $$\sqrt[3]{y \sqrt{y}}$$
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