We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website.
Please click on "Accept cookies" if you agree to the setting of cookies. Cookies that do not require consent remain unaffected by this, see
cookie policy and privacy policy.
DECLINE COOKIES

#2**+1 **

C; \(\sqrt[3]{x}\)

Why? Well, here we go. Let's start with the original:

\(\frac{\sqrt[3]{x^2}}{\sqrt[6]{x^2}}\) Change both of these square roots to exponents

\(\frac{x^{\frac{2}{3}}}{x^{\frac{2}{6}}}\)

Now let's apply an exponent rule. The rule is the following.

\(\frac{x^a}{x^b}=x^{a-b}\)

Using this rule, we can simplify further:

\(\frac{x^{\frac{2}{3}}}{x^{\frac{2}{6}}}=x^{\frac{2}{3}-\frac{1}{3}}\) I simplified 2/6 to 1/3. Now, subtract the exponents.

\(x^{\frac{1}{3}}=\sqrt[3]{x}\)This is your final answer. Hopefully, this makes sense...

TheXSquaredFactor May 22, 2017