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Popular >

simplify (sqrt(5/6))^{x-1}

Solution

simplify

(\frac{5}{6})^{x - 1}

Solution

(\frac{5}{6})^{\frac{x - 1}{2}}

Solution steps

(\frac{5}{6})^{x - 1}

Apply radical rule:

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

= ((\frac{5}{6})^{\frac{1}{2}})^{x - 1}

Apply exponent rule:

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

= (\frac{5}{6})^{\frac{1}{2} (x - 1)}

Simplify

\frac{1}{2} (x - 1) : \frac{x - 1}{2}

= (\frac{5}{6})^{\frac{x - 1}{2}}

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Frequently Asked Questions (FAQ)

What is (sqrt(5/6))^{x-1} ?
The solution to (sqrt(5/6))^{x-1} is (5/6)^{(x-1)/2}