Question

Simplify the expression answer should have a positive exponent six to the sixth power times six to the -4th power over six to the second power

Answer 1

To simplify the expression \( \frac{6^6 \times 6^{-4}}{6^2} \), you can use the properties of exponents.

First, combine the exponents in the numerator:

\[
6^6 \times 6^{-4} = 6^{6 + (-4)} = 6^{6 - 4} = 6^2
\]

Now the expression becomes:

\[
\frac{6^2}{6^2}
\]

Using the property \( \frac{a^m}{a^n} = a^{m-n} \):

\[
\frac{6^2}{6^2} = 6^{2-2} = 6^0
\]

And since any non-zero number raised to the power of 0 is 1:

\[
6^0 = 1
\]

Thus, the simplified expression is:

\[
\boxed{1}
\]