Solve ((2x^2)^(3/2))/2^(1/2)x^4

Evaluate

\frac{( 2 x ^{2} ) ^{\frac{3}{2}}}{2 ^{\frac{1}{2}}} \times x^{4}

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

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

Since the left-hand side is always positive or 0,and the right-hand side is always 0,the statement is true for any value of x

\frac{( 2 x ^{2} ) ^{\frac{3}{2}}}{2 ^{\frac{1}{2}}} \times x^{4} = 0, x \in R

Calculate

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

Divide the terms

More Steps

2 x^{3} \times x^{4} = 0

Multiply the terms

More Steps

2 x^{7} = 0

Rewrite the expression

x^{7} = 0

Solution

x = 0

Simplify the expression