+0

0
306
2
+771

Which expression is equivalent to this equation?

May 22, 2017

#1
0

May 22, 2017
#2
+2340
+1

C; $$\sqrt[3]{x}$$

$$\frac{\sqrt[3]{x^2}}{\sqrt[6]{x^2}}$$  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...

May 22, 2017