Question

Radicals and rational exponentWhich is equivalent to the expression below

Answer 1

First we can use the properti of rhe radicals, that let us divide each of the term inside it, because there is not an addition or a substraction so:

`\sqrt[]{16x^7x^4}=\sqrt[]{16}\sqrt[]{x^7}\sqrt[]{x^4}`

Now we can simplify like:

`4\sqrt[]{x^7}\sqrt[]{x^4}`

Now we can use this:

`\sqrt[x]{a^y}=a^{(y)/(x)}`

So:

`4x^{(7)/(2)}y^{(4)/(2)}=4x^{(7)/(2)}y^{2^{}}`

So the solution is the numeral D.