Find the numerical equivalent of 9^9x9^-6 answer should be written without exponents

Answer 1

To find the numerical equivalent of \( 9^9 \times 9^{-6} \), we can use the property of exponents that states \( a^m \times a^n = a^{m+n} \).

Applying this property:

\[ 9^9 \times 9^{-6} = 9^{9 + (-6)} = 9^{9 - 6} = 9^3 \]

Now, we need to calculate \( 9^3 \):

\[ 9^3 = 9 \times 9 \times 9 \]

Calculating step-by-step:

\[ 9 \times 9 = 81 \]

Now multiply by 9 again:

\[ 81 \times 9 = 729 \]

Therefore, the numerical equivalent of \( 9^9 \times 9^{-6} \) is \( \boxed{729} \).