Simplify ((x-1)^(1/2))^2

${({(x - 1)}^{\frac{1}{2}})}^{2}$

Step 1

Multiply the exponents in ${({(x - 1)}^{\frac{1}{2}})}^{2}$ .

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

${(x - 1)}^{\frac{1}{2} \cdot 2}$

Cancel the common factor of $2$ .

Cancel the common factor.

${(x - 1)}^{\frac{1}{2} \cdot 2}$

Rewrite the expression.

${(x - 1)}^{1}$

Step 2

Simplify.

$x - 1$