Question

What is 1/144 as an expression using a negative exponent

Answer 1

`{12}^( - 2)`

Step-by-step explanation

The given expression is

`(1)/(144)`

This is the same as:

`(1)/(12 * 12)`

In index notation, we write this as

`\frac{1}{ {12}^(2) }`

To write this as a negative index, we use the property:

`\frac{1}{ {a}^(m) } = {a}^(- m)`

This implies that;

`\frac{1}{ {12}^(2) } = {12}^( - 2)`