Question

Which expression is equivalent to ^3 √1/1000c^9d^12

1/100c^3d^4

1/100c^6d^9

1/10c^3d^4

1/10c^6d^9

Answer 1

ITS C

Explanation:

Answer 2

`(1)/(10c^(3)d^(4) )`

Explanation:

THE GIVEN EXPRESSION IS

`\sqrt[3]{(1)/(1000c^(9)d^(12) ) }`

To simplify this expression, we just have to apply the cubic root to each part of the fraction, as follows

`\frac{\sqrt[3]{1} }{\sqrt[3]{1000c^(9) d^(12) } }`

Then, we solve each root. Remember that to solve roots of powers, we just need to divide the exponent of the power by the index of the root, as follows

`\frac{1}{10c^{(9)/(3) } d^{(12)/(3) } }`

Therefore, the equivalent expression is

`(1)/(10c^(3)d^(4) )`

So, the right answer is the third choice.