Question

Please help me on this

Answer 1

Explanation:

Pretty sure it’s C

Answer 2

For this case we must simplify the following expression:

`\frac {\sqrt {c ^ 2 * d ^ 6}} {\sqrt {4c ^ 3 * d ^ {- 4}}}`

By definition of root properties we have to:

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

Then, we can rewrite the expression as:

`\frac {c ^ {\frac {2} {2}} * d ^ {\frac {6} {2}}} {2c \sqrt {c} * \frac {1} {d ^ {\frac {4} {2}}}} =`

`\frac {c * d ^ 3} {2c \sqrt {c} * \frac {1} {d ^ 2}} =`

`\frac {d ^ 3} {2 \sqrt {c} * \frac {1} {d ^ 2}} =`

We have to:

`a ^ n * a ^ m = a ^ {n + m}`

Then, applying double c we have:

`\frac {d ^ 5} {2 \sqrt {c}}`

Answer:

Option B