Question

Write the expression 12^-2 in simplest form.

Answer 1

Answer:

Step-by-step explanation:

Express with a positive exponent

1/12^2

Evaluate the power 12^2 =144

Final answer

1/144

Answer 2

The given expression in its simplest form is $\frac{1}{144}$

From the question,

We are to write the given expression in its simplest form.

The given expression is 12^-2

First, we will write the given expression properly.

The expression can be written as

$12^{-2}$

Now, the expression can be simplified by applying the negative power law of indices

From the law

$a^{-x} = \frac{1}{a^{x} }$

Therefore

$12^{-2}$ becomes

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

Simplifying, we get

$\frac{1}{144}$

Hence, the given expression in its simplest form is $\frac{1}{144}$

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