Find the numerical equivalent of 9 to the 9th power times 9 to the negative 6exponent your answer should be written without exponents

Answer 1

To solve \( 9^9 \times 9^{-6} \), we can use the properties of exponents. Specifically, when multiplying two exponents with the same base, we add the exponents.

Thus:

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

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

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

Calculating this step-by-step:

1. \( 9 \times 9 = 81 \)
2. \( 81 \times 9 = 729 \)

Therefore, the numerical equivalent of \( 9^9 \times 9^{-6} \) without exponents is:

\[ \boxed{729} \]