Final answer:
In order to simplify (3²)3⁵, we multiply the exponents due to the rules of exponents. This gives us 3^(2×5), which simplifies to 3³⁵, corresponding to option B.
Step-by-step explanation:
The question requires us to simplify the expression (3²)3⁵. According to the rules of exponents, when an exponential term is raised to another power, we multiply the exponents. The base number 3 is squared, which is the same as 3× the exponent, and then raised to the fifth power. Thus, we will multiply the exponents 2 and 5, which gives us:
(3²)3⁵ = 3²×5 = 3²×σ×σ×σ×σ×σ = 3³⁵
This simplifies to 3·, which corresponds to option B.