Question

What is the simplified form of 2160x8/60x2? Assume 36x3 36x2 6x3 6x2

*see image

Answer 1

For this case we must simplify the following expression:

`\sqrt {\frac {2160x ^ 8} {60x ^ 2}}`

We rewrite the expression:

`\sqrt {\frac {60 * 36 * x ^ 8} {60x ^ 2}} =`

We eliminate common terms:

`\sqrt {\frac {36 * x ^ 8} {x ^ 2}} =`

For division of powers of the same base, the same base is placed and the exponents are subtracted:

`\sqrt {36x ^ {8-2}} =\\\sqrt {36x ^ {6}} =`

By definition of properties of powers and roots we have:

`\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}`

So:

`6x ^ {\frac {6} {2}} =\\6x ^ 3`

Answer:

Option C