Final answer:
The expression (3³)² is simplified by multiplying the exponents (3×2) to get 3⁶, which equals 729.
Step-by-step explanation:
To simplify the expression (3³)², we want to use the laws of exponents. The power of a power rule tells us that when we have an exponential expression raised to another power, we can multiply the exponents. In this case, we have 3 raised to the 3rd power, and then that result is squared. So, we multiply the exponent 3 by the outer exponent 2.
(3³)² = 33×2
= 36
Now we simply calculate 3 to the 6th power.
36 = 3 × 3 × 3 × 3 × 3 × 3
= 729
So the expression simplifies to 729.