Final answer:
The expression (3a⁴b⁰c³)² simplifies to 9a⁸c⁶ using the rules of squaring of exponentials.
Step-by-step explanation:
Let's focus on simplifying the expression (3a⁴b⁰c³)². This simplification involves the Squaring of Exponentials, which entails squaring the digit and multiplying the exponents by 2.
- First, square the coefficient digit. So, 3² = 9.
- Then, apply the power of a power rule to each variable separately (which states that when you have a power of a power, you multiply the exponents). So, a^(4*2)=a^8, b^(0*2)=b^0 and c^(3*2)=c^6. Remember that anything raised to the power of 0 is 1.
Therefore, (3a⁴b⁰c³)² simplifies to 9a⁸c⁶.
Learn more about Squaring of Exponentials