Final answer:
To simplify the expression (8b)⁴ /b⁶, divide the digit term of the numerator by the digit term of the denominator and subtract the exponents. The simplified expression is 8b⁻².
Step-by-step explanation:
To simplify the expression (8b)⁴ /b⁶, we can use the division of exponentials rule. First, we divide the digit term of the numerator, which is 8, by the digit term of the denominator, which is 1, since b⁶ can be written as b⁶/b⁶ = 1. Next, we subtract the exponents, which gives us 4-6 = -2. Therefore, the simplified expression is 8b⁻².