Write in Exponential Form 1/(( square root of x)^5)

$\frac{1}{{(\sqrt{x})}^{5}}$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{x}$ as $x^{\frac{1}{2}}$ .

$\frac{1}{{(x^{\frac{1}{2}})}^{5}}$

Step 2

Multiply the exponents in ${(x^{\frac{1}{2}})}^{5}$ .

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

$\frac{1}{x^{\frac{1}{2} \cdot 5}}$

Combine $\frac{1}{2}$ and $5$ .

$\frac{1}{x^{\frac{5}{2}}}$