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Apply the formula: $x^a=b$$\to \left(x^a\right)^{inverse\left(a\right)}=b^{inverse\left(a\right)}$, where $a=\frac{1}{2}$, $b=2$, $x^a=b=\sqrt{x-8}=2$, $x=x-8$ and $x^a=\sqrt{x-8}$
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$\left(\sqrt{x-8}\right)^2=2^2$
Learn how to solve equations problems step by step online. Solve the equation (x-8)^(1/2)=2. Apply the formula: x^a=b\to \left(x^a\right)^{inverse\left(a\right)}=b^{inverse\left(a\right)}, where a=\frac{1}{2}, b=2, x^a=b=\sqrt{x-8}=2, x=x-8 and x^a=\sqrt{x-8}. Apply the formula: \left(x^a\right)^b=x, where a=\frac{1}{2}, b=2, x^a^b=\left(\sqrt{x-8}\right)^2, x=x-8 and x^a=\sqrt{x-8}. Apply the formula: a^b=a^b, where a=2, b=2 and a^b=2^2. Apply the formula: x+a=b\to x=b-a, where a=-8, b=4, x+a=b=x-8=4 and x+a=x-8.
