Question

Which can be used to describe an equivalent expression for (s^6)^-3

Adding the exponents will create an equivalent expression.
Dividing the exponents will create an equivalent expression.
There are three factors of 1/s^6.
There are three factors of 1/s^3.

Answer 1

there are three factors of 1/s^6

Explanation:

Answer 2

For this case we have the following expression:

`(s ^ 6) ^ {- 3}`

We must indicate which of the expressions is equivalent.

By properties of powers we have that:

`a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}`

Thus, the expression can be written as:

`\frac {1} {(s ^ 6) ^ 3} =\\\frac {1} {s ^ 6} * \frac {1} {s ^ 6} * \frac {1} {s ^ 6}`

Answer:

There are three factors of
`(1)/(s^6)`