Solve a^(3/2)*(a^2)^(3/2)

Evaluate

a^{\frac{3}{2}} (a^{2})^{\frac{3}{2}}

To find the roots of the expression,set the expression equal to 0

a^{\frac{3}{2}} (a^{2})^{\frac{3}{2}} = 0

Find the domain

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a^{\frac{3}{2}} (a^{2})^{\frac{3}{2}} = 0, a \geq 0

Calculate

a^{\frac{3}{2}} (a^{2})^{\frac{3}{2}} = 0

Evaluate the power

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a^{\frac{3}{2}} \times a^{3} = 0

Multiply the terms

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a^{\frac{9}{2}} = 0

The only way a root could be 0 is when the radicand equals 0

a = 0

Check if the solution is in the defined range

a = 0, a \geq 0

Solution

a = 0

Simplify the expression