186k views
1 vote
Simplify the expression and evaluate the numerical bases:

3² * 6² * c * 3³

A. 33
B. 38
C. 270
D. 2752
E. 3

1 Answer

6 votes

Final answer:

To simplify the expression and evaluate the numerical bases 3² * 6² * 3³, we multiply the numerical bases together and add the exponents. The final answer is 8748.

Step-by-step explanation:

To simplify the expression and evaluate the numerical bases, we need to multiply the numerical bases together and add the exponents.

The expression is 3² * 6² * 3³.
First, we multiply 3² and 3³.

This equals 3^(2+3) = 3^5.
Then, we multiply 3^5 with 6².

This equals (3^5) * (6²)

= 3^5 * 6^2
Now we can calculate the final answer. 3^5 = 3 * 3 * 3 * 3 * 3

= 243.

6^2 = 6 * 6

= 36

So, the expression simplifies to 243 * 36 = 8748.

Hence, the numerical value of the given expression is 8748.

User Primoz Rome
by
8.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.