What is (1/(x^2-2x-24))^{1/2} ?

The solution to (1/(x^2-2x-24))^{1/2} is 1/((x^2-2x-24)^{1/2)}

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simplify (1/(x^2-2x-24))^{1/2}

simplify

(\frac{1}{x ^{2} - 2 x - 24})^{\frac{1}{2}}

\frac{1}{( x ^{2} - 2 x - 24 ) ^{\frac{1}{2}}}

Solution steps

(\frac{1}{x ^{2} - 2 x - 24})^{\frac{1}{2}}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{1 ^{\frac{1}{2}}}{( x ^{2} - 2 x - 24 ) ^{\frac{1}{2}}}

Apply rule

1^{a} = 1

1^{\frac{1}{2}} = 1

= \frac{1}{( x ^{2} - 2 x - 24 ) ^{\frac{1}{2}}}

(3 x - 2)^{2} = 39

8 x^{2} - 17 x - 21

3 ∣ x - 1 ∣ = ∣ - 2 x - 2 ∣ + 4

(\frac{1}{32})^{\frac{1}{5}}

\frac{( 3 - 5 i )}{( 2 - 5 i )}

What is (1/(x^2-2x-24))^{1/2} ?
The solution to (1/(x^2-2x-24))^{1/2} is 1/((x^2-2x-24)^{1/2)}