Question

Simplify 6 to the negative 3rd power over 6 to the 5th. 68 6−2 1 over 6 to the 8th power 1 over 6 to the 2nd power

Answer 1

`( 6^(-3))/( 6^(5) ) = 6^(-3 -5) = 6^(-8)`


`( 6^(8) )/( 6^(2) ) = 6^(8-2) = 6^(6)`

Answer 2

The correct option is C) 1 over 6 to the 8th power.

Explanation:

Consider the provided expression.

6 to the negative 3rd power over 6 to the 5th. This can be written as:

`(6^(-3))/(6^5)`

Apply the exponent rule:
`(x^a)/(x^b)=(1)/(x^(b-a))`

By using the above rule.

`(1)/(6^(5-(-3)))`

`(1)/(6^(5+3))`

`(1)/(6^(8))`

Hence, the simplified form is
`(1)/(6^(8))`

Thus, the correct option is C) 1 over 6 to the 8th power.