Solve (2a^(3/4))^2(5a^(1/2))

Evaluate

(2 a^{\frac{3}{4}})^{2} (5 a^{\frac{1}{2}})

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

(2 a^{\frac{3}{4}})^{2} (5 a^{\frac{1}{2}}) = 0

Find the domain

(2 a^{\frac{3}{4}})^{2} (5 a^{\frac{1}{2}}) = 0, a \geq 0

Calculate

(2 a^{\frac{3}{4}})^{2} (5 a^{\frac{1}{2}}) = 0

Multiply the terms

(2 a^{\frac{3}{4}})^{2} \times 5 a^{\frac{1}{2}} = 0

Multiply the terms

More Steps

20 a^{2} = 0

Rewrite the expression

a^{2} = 0

The only way a power can be 0 is when the base equals 0

a = 0

Check if the solution is in the defined range

a = 0, a \geq 0

Solution

a = 0

Simplify the expression