Question

Answer as a fraction

3^4 x 12^-1

Answer 1

To simplify the expression \( 3^4 \times 12^{-1} \), we can break it down step by step.

First, calculate \( 3^4 \):
\[
3^4 = 81
\]

Next, rewrite \( 12^{-1} \):
\[
12^{-1} = \frac{1}{12}
\]

Now, we can substitute these values into the expression:
\[
3^4 \times 12^{-1} = 81 \times \frac{1}{12}
\]

This can be written as:
\[
\frac{81}{12}
\]

Next, we simplify the fraction \( \frac{81}{12} \). The greatest common divisor (GCD) of 81 and 12 is 3.

Now, divide both the numerator and the denominator by 3:
\[
\frac{81 \div 3}{12 \div 3} = \frac{27}{4}
\]

Thus, the final answer in the form of a fraction is:
\[
\frac{27}{4}
\]