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Popular >

simplify \sqrt[4]{9}^{1/2 x}

Solution

simplify

Solution

3^{\frac{0.5 x}{2}}

Solution steps

Factor the number:

9 = 3^{2}

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

Multiply

\frac{1}{2} x : \frac{x}{2}

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

Apply radical rule:

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

= (3^{0.5})^{\frac{x}{2}}

Apply exponent rule:

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

= 3^{0.5 \cdot \frac{x}{2}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= 3^{\frac{0.5 x}{2}}

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Frequently Asked Questions (FAQ)

What is \sqrt[4]{9}^{1/2 x} ?
The solution to \sqrt[4]{9}^{1/2 x} is 3^{(0.5x)/2}