hewwo, I am stuck on this question and cant get past it
Evaluate: (3^2)(3^3)(2^3)
I know how to simplify and I know how to evaluate when solving for an unknown number but I cant figure this out.
9 * 27 * 8 = ?
Thank you :)
Hello! I'm here to help you with your question. To evaluate the expression (3^2)(3^3)(2^3), we can simplify it by using the rules of exponents.
First, let's look at the expression (3^2)(3^3). When we have the same base raised to different exponents and we multiply them, we can simply add the exponents together. In this case, we have 3^2 and 3^3, which means we have 3 raised to the power of 2 and 3 raised to the power of 3. So, when we multiply these together, we add the exponents:
(3^2)(3^3) = 3^(2+3) = 3^5.
Next, let's simplify the expression (3^5)(2^3). Again, we have different bases raised to different exponents, so we can't directly add the exponents. Instead, we need to evaluate each base separately and then multiply the results together.
Calculating 3^5, which means 3 raised to the power of 5, we get:
3^5 = 3 * 3 * 3 * 3 * 3 = 243.
Calculating 2^3, which means 2 raised to the power of 3, we get:
2^3 = 2 * 2 * 2 = 8.
Now that we have the values of 3^5 and 2^3, we can multiply them together:
(3^5)(2^3) = 243 * 8 = 1944.
Therefore, the value of the expression (3^2)(3^3)(2^3) is 1944.
I hope this explanation helps you understand how to evaluate the expression. If you have any further questions, please feel free to ask!