HELP ??

Using the properties of exponents and radicals, design at least three different equivalent forms of x². You must show how each one can be simplified back to x² in two or more steps. Stretch your mind and get creative! Keep in mind that something too simple, like x • x would not be acceptable since it takes only one step to convert it to x².

Question

HELP ??

Using the properties of exponents and radicals, design at least three different equivalent forms of x². You must show how each one can be simplified back to x² in two or more steps. Stretch your mind and get creative! Keep in mind that something too simple, like x • x would not be acceptable since it takes only one step to convert it to x².

dumbcow · Answer

use this property
$$\large \sqrt{x^{n}} = x^{n/2}$$
and 
$$\large \sqrt[m]{x^{n}} = x^{n/m}$$
so
$$\large \sqrt{x^{2}}*\sqrt{x^{2}} = x^{2}$$
$$\large \sqrt[4]{x^{4}}*\sqrt[4]{x^{4}} = x^{2}$$

anonymous · Answer

$$(\sqrt[3]{x^2})^(4/3)$$

$$\sqrt{\sqrt{\sqrt{x^16}}}$$

$$(-3x-4+4x+4)^2$$

anonymous · Answer

You both put something different ... D: