Find the numerical equivalent of

Question

5^10 * 5^-6
the answer should not contain any exponent expression or decimals.

Answer 1

To find the numerical equivalent of \( 5^{10} \times 5^{-6} \), we can use the properties of exponents. Specifically, we can add the exponents when multiplying like bases:

\[ 5^{10} \times 5^{-6} = 5^{10 - 6} = 5^4 \]

Now, we calculate \( 5^4 \):

\[ 5^4 = 5 \times 5 \times 5 \times 5 \]

Calculating step by step:

\[ 5 \times 5 = 25 \] \[ 25 \times 5 = 125 \] \[ 125 \times 5 = 625 \]

Therefore, the numerical equivalent of \( 5^{10} \times 5^{-6} \) is

\[ \boxed{625} \]