Question
Simplify: $y^{\frac{1}{2}} \cdot y^{\frac{3}{4}}$

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Answer

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Answer

The simplified form of the expression $y^{\frac{1}{2}} \cdot y^{\frac{3}{4}}$ is $\boxed{y^{\frac{5}{4}}}$.

Steps

Step 1 ：The question is asking us to simplify the expression $y^{\frac{1}{2}} \cdot y^{\frac{3}{4}}$.

Step 2 ：This is a basic exponent rule problem. When we multiply two exponents with the same base, we add the exponents.

Step 3 ：So, we need to add $\frac{1}{2}$ and $\frac{3}{4}$ to simplify the expression.

Step 4 ：The simplified form of the expression $y^{\frac{1}{2}} \cdot y^{\frac{3}{4}}$ is $\boxed{y^{\frac{5}{4}}}$.