Question

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

Answer 1

ANSWER

${12}^{ - 2}$

EXPLANATION

The given expression is

$\frac{1}{144}$

This is the same as:

$\frac{1}{12 \times 12}$

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;

$\frac{1}{ {12}^{2} } = {12}^{ - 2}$