Question

evaluate. write your answer as a whole number or as a simplified fraction.
$12^{-5} \cdot 12^{6} = $

Explanation:

Step1: Apply exponent product rule

When multiplying terms with the same base, add exponents: $a^m \cdot a^n = a^{m+n}$.
$12^{-5} \cdot 12^{6} = 12^{-5+6}$

Step2: Simplify the exponent

Calculate the sum of the exponents.
$12^{-5+6} = 12^{1}$

Step3: Evaluate the final term

Any number to the power of 1 is itself.
$12^{1} = 12$

Answer:

12