Question

Evaluate the following expression. 6^-3

Answer 1

6^(-3) = (
`(1)/(6)`)^3 =
`(1)/(216)`

Answer 2

value of
`6^(-3)` is
`(1)/(216)`

Explanation:

Given the expression:

`6^(-3)`

Using the rule:

`a^(-n) = (1)/(a^n)`

`6^(-3)`

Apply on this expression we have;

`(1)/(6^3)`

we can write
`6^3` as:

`6^3=6 \cdot 6 \cdot 6`

then;

`(1)/(6 \cdot 6 \cdot 6)`

Simplify:

`(1)/(216)`

Therefore, the value of
`6^(-3)` is
`(1)/(216)`