Which of the following expressions is equivalent to 3^(2x) * 3^(x+1)?

₹0.0

Question: Which of the following expressions is equivalent to 3^(2x) * 3^(x+1)?

Options:

Correct Answer: 3^(3x + 1)

Solution:

Using the property of exponents that states a^m * a^n = a^(m+n), we combine the exponents: 2x + (x + 1) = 3x + 1.

Which of the following expressions is equivalent to 3^(2x) * 3^(x+1)?

Which of the following expressions is equivalent to 3^(2x) * 3^(x+1)?

Step 1: Identify the base of the expressions. Here, the base is 3.
Step 2: Recognize that we have two expressions being multiplied: 3^(2x) and 3^(x+1).
Step 3: Use the property of exponents that states when you multiply two expressions with the same base, you can add their exponents.
Step 4: Write down the exponents: the first exponent is 2x and the second exponent is (x + 1).
Step 5: Add the exponents together: 2x + (x + 1).
Step 6: Simplify the addition: 2x + x + 1 = 3x + 1.
Step 7: Write the final expression using the combined exponent: 3^(3x + 1).

No concepts available.