Solve (x^(2) 1)^( 3/2 ) (x^(2) 1)^( 7/2 )

Evaluate

(x^{2} \times 1)^{\frac{3}{2}} (x^{2} \times 1)^{\frac{7}{2}}

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

(x^{2} \times 1)^{\frac{3}{2}} (x^{2} \times 1)^{\frac{7}{2}} = 0

Find the domain

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(x^{2} \times 1)^{\frac{3}{2}} (x^{2} \times 1)^{\frac{7}{2}} = 0, x \in R

Calculate

(x^{2} \times 1)^{\frac{3}{2}} (x^{2} \times 1)^{\frac{7}{2}} = 0

Any expression multiplied by 1 remains the same

(x^{2})^{\frac{3}{2}} (x^{2} \times 1)^{\frac{7}{2}} = 0

Any expression multiplied by 1 remains the same

(x^{2})^{\frac{3}{2}} (x^{2})^{\frac{7}{2}} = 0

Evaluate the power

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x^{3} (x^{2})^{\frac{7}{2}} = 0

Evaluate the power

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x^{3} \times x^{7} = 0

Multiply the terms

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x^{10} = 0

Solution

x = 0

Simplify the expression