Simplify a^(-3x) × a^b × a^b: Exponent Multiplication Practice

To reduce the given equation $a^{-3x} \times a^b \times a^b$, we will use the multiplication of powers rule for exponents, which states that if you multiply powers with the same base, you add the exponents.

Let's follow the steps:

• Step 1: Identify that all terms share the same base, $a$.

• Step 2: Apply the rule: $a^{-3x} \times a^b \times a^b = a^{-3x + b + b}$.

• Step 3: Simplify the exponents by adding them: $-3x + b + b = -3x + 2b$.

Therefore, the reduced form of the equation is $a^{-3x + 2b}$.