Question

evaluate. write your answer as a whole number or as a simplified fraction.
$4^{-1} \cdot 4^{3} = \square$

Explanation:

Step1: Apply exponent product rule

When multiplying terms with the same base, add exponents: $a^m \cdot a^n = a^{m+n}$.
$4^{-1} \cdot 4^3 = 4^{-1+3}$

Step2: Simplify the exponent

Calculate the sum of the exponents.
$4^{-1+3} = 4^{2}$

Step3: Compute the final value

Evaluate the power of 4.
$4^2 = 16$

Answer:

16