Question

How would you write 12–3 using a positive exponent?
123
120
1231

1123

Answer 1

To express \( 12^{-3} \) using a positive exponent, you can use the property of exponents that states:

\[
a^{-n} = \frac{1}{a^n}
\]

Applying this to your expression:

\[
12^{-3} = \frac{1}{12^3}
\]

So, you can write \( 12^{-3} \) as \( \frac{1}{12^3} \), which is a way to use a positive exponent.

However, none of your options seem to match this format directly. If you meant to see how \( 12^{-3} \) translates to a numerical answer, then:

\[
12^3 = 1728
\]

Thus, \( 12^{-3} = \frac{1}{1728} \). Again, none of your options provided exactly correspond to this transformation.

If I misunderstood your question or if you meant something else by "using a positive exponent," please clarify!